Engineering Mechanics: Dynamics, Study Pack, Si Edition
14th Edition
ISBN: 9781292171944
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 15.9, Problem 5RP
If the projectile penetrates and emerges from the block with a velocity of 300 m/s, determine the velocity of the block just after the projectile emerges. How long does the block slide on the rough surface, after the projectile emerges, before it comes to rest again? The coefficient of kinetic friction between the surface and the block is μk = 0.2.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
2 A metal block of mass m = 10 kg is sliding along a frictionless surface with an initial speed
Vo, as indicated below. The block then slides above an electromagnetic brake that applies a
force FEB to the block, opposing its motion. The magnitude of the electromagnetic force
varies quadratically with the distance moved along the brake (x):
10
FEB = kx²,
with k
= 5
N
m²
V₁ = 8 m/s
m = 10 kg
FEB
Frictionless surface
Electromagnetic brake
⇒x
Determine how far the block slides along the electromagnetic brake before stopping, in m.
Q1: Determine the length, angle of contact, and width of a 9.75 mm thick
leather belt required to transmit 15 kW from a motor running at 900 r.p.m. The
diameter of the driving pulley of the motor is 300 mm. The driven pulley runs at
300 r.p.m. and the distance between the centers of two pulleys is 3 meters. The
density of the leather is 1000 kg/m³. The maximum allowable stress in the
leather is 2.5 MPa. The coefficient of friction between the leather and pulley is
0.3. Assume open belt drive.
5. A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having
20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made
of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel
having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day
under light shock conditions, find from the standpoint of strength,
1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear.
Check the gears thus designed from the consideration of wear. The surface endurance limit may be
taken as 700 MPa. [Ans. m = 6 mm; b= 60 mm; Tp=24; T=96; Dp = 144mm; DG = 576 mm]
Chapter 15 Solutions
Engineering Mechanics: Dynamics, Study Pack, Si Edition
Ch. 15.2 - Determine the impulse of the force for t = 2 s.Ch. 15.2 - Determine the magnitude of the impulse the ground...Ch. 15.2 - The crate starts from rest and is towed by the...Ch. 15.2 - Determine the speed of the 25-kg crate when t = 4...Ch. 15.2 - If the car starts from rest, determine its speed...Ch. 15.2 - The traction force developed at the wheels is FD =...Ch. 15.2 - Determine the impulse of his foot on the ball at...Ch. 15.2 - The crate starts from rest and is towed by the...Ch. 15.2 - Determine the average tension in each of the two...Ch. 15.2 - If the uniform beam has a weight of 5000 lb,...
Ch. 15.2 - Determine the magnitude of the net impulse exerted...Ch. 15.2 - If it takes 80 s for the train to increase its...Ch. 15.2 - If they start from rest, determine their speed...Ch. 15.2 - If the impact occurs in 0.06 s, determine the...Ch. 15.2 - The winch delivers a horizontal towing force T to...Ch. 15.2 - If the crate starts from rest and achieves a speed...Ch. 15.2 - To achieve this the 2-kg spike S is fired into the...Ch. 15.2 - If the van has a speed of 20 km/h when t = 0,...Ch. 15.2 - If the speed decreases to 40 km/h in 5 s,...Ch. 15.2 - If it strikes the barrier, determine the...Ch. 15.2 - If the 100 kg crate is originally at rest at t = 0...Ch. 15.2 - From the data shown in the graphs, determine the...Ch. 15.2 - Determine its speed, starting from rest, when t =...Ch. 15.2 - Determine the speed of the crate when t = 3 s and...Ch. 15.2 - If these loadings vary in the manner shown on the...Ch. 15.2 - If the cabinet is initially moving to the left...Ch. 15.2 - The propeller provides the propulsion force F...Ch. 15.2 - Determine the sleds maximum velocity and the...Ch. 15.2 - If the 34-lb crate is originally on the ground at...Ch. 15.2 - If the 34-lb crate is originally at rest on the...Ch. 15.2 - The balloon is rising at a constant velocity of 18...Ch. 15.2 - Prob. 26PCh. 15.2 - Determine the speed of the crate when t = 3 s,...Ch. 15.2 - Determine how high the crate has moved upward when...Ch. 15.2 - As a result of the explosion, the cylinder...Ch. 15.2 - If the carrier is traveling forward with a speed...Ch. 15.2 - If B is moving downward with a velocity (vB)1 = 3...Ch. 15.2 - Prob. 32PCh. 15.2 - The winch delivers a horizontal towing force T to...Ch. 15.2 - It then travels along the trajectory shown before...Ch. 15.2 - Determine the velocity of A after collision if the...Ch. 15.2 - If the cart has a smooth surface and it is...Ch. 15.3 - If the two blocks couple together after collision,...Ch. 15.3 - If the spring is compressed s = 200 mm and then...Ch. 15.3 - If A is stationary and B has a velocity of 15 m/s...Ch. 15.3 - If a 20-kg projectile is fired from the cannon...Ch. 15.3 - Meanwhile a 2-Mg car A is traveling at 15 m/s to...Ch. 15.3 - Determine the distance s the boy reaches up the...Ch. 15.3 - At the same time another car having a mass of 12...Ch. 15.3 - When a 2-g bullet strikes and becomes embedded in...Ch. 15.3 - If he lands on the second fiat car B, determine...Ch. 15.3 - Determine the speed of the block just after the...Ch. 15.3 - Determine the speed of the block just after the...Ch. 15.3 - Determine the distance the block will slide before...Ch. 15.3 - When the toboggan reaches the bottom of the slope...Ch. 15.3 - Determine its speed v2 and its direction 2 when it...Ch. 15.3 - A spring, having a stiffness of k = 60 N/m, is...Ch. 15.3 - Determine the maximum compression of the spring...Ch. 15.3 - They are placed on a smooth surface and the spring...Ch. 15.3 - If they exchange positions, A going to B and then...Ch. 15.3 - If A walks to B and stops, and both walk back...Ch. 15.3 - If someone drives the automobile to the other side...Ch. 15.3 - A 10-kg crate is released from rest at A and...Ch. 15.3 - Block A has a mass of 5 kg and is placed on the...Ch. 15.3 - if the coefficient of kinetic friction between A...Ch. 15.3 - When it reaches the bottom, a spring loaded gun...Ch. 15.3 - If the belt starts from rest and begins to run...Ch. 15.3 - If the 10-g bullet is traveling at 300 m/s when it...Ch. 15.3 - The velocities of A and B before and after the...Ch. 15.3 - If the coefficient of restitution between the...Ch. 15.4 - As it slides down the ramp, it strikes the 80-lb...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - Disk B has a mass of 11 kg and is initially at...Ch. 15.4 - Two disks A and B each have a mass of 1 kg and the...Ch. 15.4 - Disk A has a mass of 250 g and is sliding on a...Ch. 15.4 - After the collision, the car moves with a velocity...Ch. 15.4 - If the coefficient of restitution between the...Ch. 15.4 - The block has a velocity v = 10 m/s when it is s =...Ch. 15.4 - If A and B are rolling forward with velocity v and...Ch. 15.4 - If A and B are rolling forward with velocity v and...Ch. 15.4 - If e = 0.7, determine the velocity of each ball...Ch. 15.4 - If the coefficient of restitution between A and B...Ch. 15.4 - If the coefficient of restitution between A and B...Ch. 15.4 - If ball A is released from rest and strikes ball B...Ch. 15.4 - Determine (a) the velocity at which it strikes the...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - If A is given a velocity of 0, while sphere B is...Ch. 15.4 - Determine the initial velocity vA of the ball and...Ch. 15.4 - Determine the initial velocity vA, the final...Ch. 15.4 - If both disks are moving with the velocities shown...Ch. 15.4 - If both disks are moving with the velocities shown...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - If it rebounds to a height of hl, determine the...Ch. 15.4 - If it makes a direct collision with ball B (e =...Ch. 15.4 - If the coefficient of restitution between the...Ch. 15.4 - If they collide with the initial velocities shown,...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - Determine (a) the velocity at which it strikes the...Ch. 15.4 - The box has a velocity v = 15 ft/s when it is 2 ft...Ch. 15.4 - Prob. 83PCh. 15.4 - If it rebounds at an angle and the coefficient of...Ch. 15.4 - If it rebounds at the same angle = 45 , determine...Ch. 15.4 - lf A strikes B with a velocity (vA)1 = 1.5 m/s as...Ch. 15.4 - If each "stone" is smooth and has a weight of 47...Ch. 15.4 - If each "stone" is smooth and has a weight of 47...Ch. 15.4 - If they have masses mA = 4 kg and mB = 2 kg,...Ch. 15.4 - if cranberries having an e 0.8 are to be...Ch. 15.4 - Prob. 91PCh. 15.4 - Prob. 92PCh. 15.4 - If they are sliding on a smooth horizontal plane...Ch. 15.4 - Determine its angular momentum HO about point O.Ch. 15.4 - Determine its angular momentum Hp about point P.Ch. 15.7 - If a constant tangential force F = 5 N is applied...Ch. 15.7 - If the block starts from rest, determine its speed...Ch. 15.7 - If the system is subjected to a couple moment M =...Ch. 15.7 - If the spheres are subjected to tangential forces...Ch. 15.7 - Determine the angular momentum HO of the 6-lb...Ch. 15.7 - Determine the angular momentum HP of the 6-lb...Ch. 15.7 - Determine the angular momentum HO, of each of the...Ch. 15.7 - Determine the angular momentum Hp, of each of the...Ch. 15.7 - Determine the angular momentum HO of the 3-kg...Ch. 15.7 - Determine the angular momentum Hp of the 3-kg...Ch. 15.7 - If the rod is subjected to a torque M = (t2 + 2) N...Ch. 15.7 - If the helix descends 8 ft for every one...Ch. 15.7 - If the helix descends 8 ft for every one...Ch. 15.7 - If the attached cord is pulled down through the...Ch. 15.7 - If the attached cord is pulled down through the...Ch. 15.7 - The blocks are fixed to the horizontal rods, and...Ch. 15.7 - The particle is placed at the position shown and...Ch. 15.7 - The car starts from rest. The total mass of the...Ch. 15.7 - If the force F on the cord is increased, the bob...Ch. 15.7 - It is attached to a fixed point at A and a block...Ch. 15.7 - If at t = 0, the cable OA is pulled in toward O at...Ch. 15.7 - If the rope is pulled inward with a constant speed...Ch. 15.7 - If the track is flat and banked at an angle of 60,...Ch. 15.7 - If the launch angle at this position is A = 70,...Ch. 15.7 - Prob. 114PCh. 15.9 - If the water has a cross-sectional area of 0.05...Ch. 15.9 - If the fan ejects air with a speed of 14 m/s,...Ch. 15.9 - Prob. 117PCh. 15.9 - Prob. 118PCh. 15.9 - If one-fourth of the water flows downward while...Ch. 15.9 - Water flows through the pipe at A with a velocity...Ch. 15.9 - Prob. 121PCh. 15.9 - Prob. 122PCh. 15.9 - If the locomotive is traveling at a constant speed...Ch. 15.9 - Prob. 124PCh. 15.9 - Prob. 125PCh. 15.9 - The machine discharges the snow through a tube T...Ch. 15.9 - Prob. 127PCh. 15.9 - Prob. 128PCh. 15.9 - It is then divided equally between the two outlets...Ch. 15.9 - Prob. 130PCh. 15.9 - Prob. 131PCh. 15.9 - Prob. 132PCh. 15.9 - Prob. 133PCh. 15.9 - Prob. 134PCh. 15.9 - Prob. 135PCh. 15.9 - Prob. 136PCh. 15.9 - Prob. 137PCh. 15.9 - Prob. 138PCh. 15.9 - Prob. 139PCh. 15.9 - The jet is traveling at a speed of 720 km/h. If...Ch. 15.9 - Prob. 141PCh. 15.9 - Air enters the intake scoops S at the rate of 50...Ch. 15.9 - Prob. 143PCh. 15.9 - Prob. 144PCh. 15.9 - Prob. 145PCh. 15.9 - Prob. 146PCh. 15.9 - Prob. 147PCh. 15.9 - Prob. 148PCh. 15.9 - Prob. 149PCh. 15.9 - If the ball then moves horizontally to the right,...Ch. 15.9 - Prob. 2CPCh. 15.9 - If the coefficient of kinetic friction between the...Ch. 15.9 - The coefficient of kinetic friction between the...Ch. 15.9 - If a horizontal force F is applied such that it...Ch. 15.9 - They are traveling along the track with the...Ch. 15.9 - If the projectile penetrates and emerges from the...Ch. 15.9 - If the collision is perfectly elastic (e = 1),...Ch. 15.9 - If A strikes B with a velocity of (vA)1 = 2 m/s as...Ch. 15.9 - If the frame is subjected to a couple M = (8t2 +...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 4. G A micarta pinion rotating at 1200 r.p.m. is to transmit 1 kW to a cast iron gear at a speed of 192 r.p.m. Assuming a starting overload of 20% and using 20° full depth involute teeth, determine the module, number of teeth on the pinion and gear and face width. Take allowable static strength for micarta as 40 MPa and for cast iron as 53 MPa. Check the pair in wear.arrow_forwardI want to solve these choicesarrow_forward2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 32: 1. The pressure angle is 14½. It transmits 5 kW at 1800 r.p.m. of pinion. Considering only strength, design the smallest diameter gears and find also necessary face width. The number of teeth should not be less than 15 teeth on either gear. The elastic strength of bronze may be taken as 84 MPa and of steel as 105 MPa. Lewis factor for 14½½ pressure angle may be taken 0.684 0.124 y = No. of teeth as [Ans. m 3 mm; b= 35 mm; Dp = 48 mm; D= 168 mm]arrow_forward
- Q2. Determine the safety factors for the bracket rod shown in Figure 2 based on both the distortion-energy theory and the maximum shear theory and compare them. Given: The material is 2024-T4 aluminum with a yield strength of 47 000 psi. The rod length /= 6 in. and arm a = 8 in. The rod outside diameter od 1.5 in., id = 1 in, h=2 in., t=0.5 in., Load F= 1000 lb. Assumptions: The load is static and the assembly is at room temperature. Consider shear due to transverse loading as well as other stresses. (Note: solve in SI units) wall tube Figure 2 armarrow_forwardThe question has been set up with all the cuts needed to accurately derive expressions for V(x) and M(x). Using the cuts free body diagrams set up below, derive expressions for V(x) and M(x). If you use the method of cuts then validate your answers using calculus or vice versa.arrow_forwardIt is required to treat 130 kmol/hr of chloroform-air feed gas mixture that contains 12% chloroform. It is required to remove 93% of chloroform using 150 kmol/hr of solvent that contains 99.6% water and 0.4% chloroform. The cross sectional area of the column is 0.8 m². Calculate the column height using the following data; kx'.a = 1.35 (kmol/m³.s (Ax)), and ky'.a = 0.06 (kmol/m³.s (Ay)), kx/ky = 1.35, and the equilibrium data are: X 0 0.0133 0.033 y 0 0.01 0.0266 0.049 0.064 0.0747 0.0933 0.1053 0.0433 0.06 0.0733 0.111 0.1 0.12 0.14arrow_forward
- ४ B: Find the numerical solution for the 2D equation below and calculate the temperature values for each grid point shown in Fig. 2 (show all steps). (Do only one trail using following initial values and show the final matrix) [T1] T₂ T3 [T] 1 = [0] 0 0 d dx dx) (ka)+4(ka) = dy -20xy, k = 1 + 0.3 T ge L=3cm, 4x= Ay B.Cs.: at x=0=LT=0°C at y=0-L T=10°C Fig. (2)arrow_forward: +0 العنوان use only Two rods fins) having same dimensions, one made orass (k = 85 Wm K) and the mer of copper (k = 375 W/m K), having of their ends inserted into a furna. At a section 10.5 cm a way from furnace, the temperature of brass rod 120 Find the distance at which the ame temperature would be reached in the per rod ? both ends are ex osed to the same environment. ns 2.05 ۲/۱ ostrararrow_forwardFor the beam show below, draw A.F.D, S.F.D, B.M.D 6 kN/m 1 M B. 3 M Marrow_forward
- 1. Two long rods of the same diameter-one made of brass (k=85w/m.k) and the other made of copper (k=375 w/m.k) have one of their ends inserted into a furnace (as shown in the following figure). Both rods are exposed to the same environment. At a distance of 105 mm from the furnace, the temperature of the brass rod is 120°C. At what distance from the furnace will the same temperature be reached in the copper rod? Furnace 105 mm T₁ Brass rod ⑪ h Too- x2- Ti Copper rodarrow_forward: +0 العنوان use only Two rods fins) having same dimensions, one made orass (k = 85 Wm K) and the mer of copper (k = 375 W/m K), having of their ends inserted into a furna. At a section 10.5 cm a way from furnace, the temperature of brass rod 120 Find the distance at which the ame temperature would be reached in the per rod ? both ends are ex osed to the same environment. ns 2.05 ۲/۱ ostrararrow_forwardمشر on ۲/۱ Two rods (fins) having same dimensions, one made of brass(k=85 m K) and the other of copper (k = 375 W/m K), having one of their ends inserted into a furnace. At a section 10.5 cm a way from the furnace, the temperature brass rod 120°C. Find the distance at which the same temperature would be reached in the copper rod ? both ends are exposed to the same environment. 22.05 ofthearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Introduction To Engg Mechanics - Newton's Laws of motion - Kinetics - Kinematics; Author: EzEd Channel;https://www.youtube.com/watch?v=ksmsp9OzAsI;License: Standard YouTube License, CC-BY