VECTOR MECH. FOR EGR: STATS & DYNAM (LL
12th Edition
ISBN: 9781260663778
Author: BEER
Publisher: MCG
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Chapter 13.4, Problem 13.9IMD
A 10-kg ball A moving horizontally at 12 m/s strikes a 10-kg block B. The coefficient of restitution of the impact is 0.4 and the coefficient of kinetic friction between the block and the inclined surface is 0.5. Draw the impulse–momentum diagram that can be used to determine the speeds of A and B after the impact.
Fig. P13.F9
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Situation 01. A 4kg ball and 3kg ball move on a smooth plane along a straight path with
speeds equivalent to 6m/s going to the right and 8 m/s going to the left, respectively
a. Determine the speed of the 3kg ball after impact if the impact is elastic.
b. Determine the speed of the 3kg ball after impact if the coefficient of restitution
is 0.50.
complete solution of impulse and momentum
Member ABC has a mass of 2.4 kg and is attached to a pin support at B. A 0.8-kg sphere D strikes the end of member ABC with a vertical velocity v1=3 m/s.
Knowing that L=0.75 m and that the coefficient of restitution between the sphere and member ABC is 0.5, answer the following:
A
D
B
1. Which of the following has impulse/s that is/are NOT considered negligible during the impact of the sphere to member AB?
I. Weight of Member ABC
II. Weight of Sphere D
III. Impact force between Sphere D and Member ABC
IV. The reactions at pin B
III only
IV only
I and II only
III and IVonly
→
Problem 13.1
Blocks A and B are identical, and each have a mass of 10 kg. Block B is at rest when it is hit by block A
which is moving with velocity VA = 6 m/s just before impact. Blocks A and B stick together after the
impact. You may neglect friction during the impact.
After the impact, the velocity of blocks A and B decreases due to friction. The coefficient of kinetic
friction between all surfaces is μ = 0.20. Use conservation principles (including the system diagrams) to
answer the following.
(a) Determine the velocity of block A and B immediately after A hits B.
(b) Determine the impulse exerted by block A on block B during the impact.
(c) Determine the time required for the velocity of the blocks to drop to 1 m/s after the impact.
(d) Determine the distance traveled by the blocks during this time interval.
Before the impact
VA = 6 m/s
B
After the impact, blocks A and
B travel together.
A
B
(a) 1 m/s
Chapter 13 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
Ch. 13.1 - Block A is traveling with a speed v0 on a smooth...Ch. 13.1 - A 400-kg satellite is placed in a circular orbit...Ch. 13.1 - A 0.5-lb stone is dropped down the bottomless pit...Ch. 13.1 - A baseball player hits a 5.1-oz baseball with an...Ch. 13.1 - A 500-kg communications satellite is in a circular...Ch. 13.1 - Prob. 13.5PCh. 13.1 - In an ore-mixing operation, a bucket full of ore...Ch. 13.1 - Determine the maximum theoretical speed that may...Ch. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - An athlete is holding 30 lb of weights at a height...
Ch. 13.1 - A 1.4-kg model rocket is launched vertically from...Ch. 13.1 - Packages are thrown down an incline at A with a...Ch. 13.1 - A package is thrown down an incline at A with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - A 1200-kg trailer is hitched to a 1400-kg car. The...Ch. 13.1 - Prob. 13.16PCh. 13.1 - Prob. 13.17PCh. 13.1 - The subway train shown is traveling at a speed of...Ch. 13.1 - A 5000-lb truck is being used to lift a 1000-lb...Ch. 13.1 - The system shown is at rest when a constant 30-lb...Ch. 13.1 - Car B is towing car A at a constant speed of 10...Ch. 13.1 - The motor applies a constant downward force F =...Ch. 13.1 - The motor applies a constant downward force F to...Ch. 13.1 - Two blocks A and B, of mass 4 kg and 5 kg,...Ch. 13.1 - Four 15-kg packages are placed as shown on a...Ch. 13.1 - A 3-kg block rests on top of a 2-kg block...Ch. 13.1 - Solve Prob. 13.26, assuming that the 2-kg block is...Ch. 13.1 - Prob. 13.28PCh. 13.1 - A 7.5-lb collar is released from rest in the...Ch. 13.1 - A 10-kg block is attached to spring A and...Ch. 13.1 - A 5-kg collar A is at rest on top of, but not...Ch. 13.1 - Prob. 13.32PCh. 13.1 - Prob. 13.33PCh. 13.1 - Two types of energy-absorbing fenders designed to...Ch. 13.1 - Prob. 13.35PCh. 13.1 - Prob. 13.36PCh. 13.1 - Prob. 13.37PCh. 13.1 - Prob. 13.38PCh. 13.1 - Prob. 13.39PCh. 13.1 - The sphere at A is given a downward velocity v0...Ch. 13.1 - A bag is gently pushed off the top of a wall at A...Ch. 13.1 - A roller coaster starts from rest at A, rolls down...Ch. 13.1 - In Prob. 13.42, determine the range of values of h...Ch. 13.1 - A small block slides at a speed v on a horizontal...Ch. 13.1 - Prob. 13.45PCh. 13.1 - Prob. 13.46PCh. 13.1 - Prob. 13.47PCh. 13.1 - Prob. 13.48PCh. 13.1 - Prob. 13.49PCh. 13.1 - Prob. 13.50PCh. 13.1 - A 1400-kg automobile starts from rest and travels...Ch. 13.1 - The frictional resistance of a ship is known to...Ch. 13.1 - Prob. 13.53PCh. 13.1 - The elevator E has a weight of 6600 lb when fully...Ch. 13.2 - Two small balls A and B with masses 2m and m,...Ch. 13.2 - Prob. 13.3CQCh. 13.2 - Prob. 13.55PCh. 13.2 - A loaded railroad car of mass m is rolling at a...Ch. 13.2 - A 750-g collar can slide along the horizontal rod...Ch. 13.2 - A 2-lb collar C may slide without friction along a...Ch. 13.2 - Solve Prob. 13.58 assuming the spring CD has been...Ch. 13.2 - A 500-g collar can slide without friction on the...Ch. 13.2 - For the adapted shuffleboard device in Prob 13.28,...Ch. 13.2 - An elastic cable is to be designed for bungee...Ch. 13.2 - It is shown in mechanics of materials that the...Ch. 13.2 - A 1.2-kg collar can slide along the rod shown. It...Ch. 13.2 - A 500-g collar can slide without friction along...Ch. 13.2 - A thin circular rod is supported in a vertical...Ch. 13.2 - Prob. 13.67PCh. 13.2 - A spring is used to stop a 50-kg package that is...Ch. 13.2 - Prob. 13.69PCh. 13.2 - A roller coaster starts from rest at A, rolls down...Ch. 13.2 - A roller coaster starts from rest at A, rolls down...Ch. 13.2 - A 1-lb collar is attached to a spring and slides...Ch. 13.2 - A 10-lb collar is attached to a spring and slides...Ch. 13.2 - Prob. 13.74PCh. 13.2 - Prob. 13.75PCh. 13.2 - A small package of weight W is projected into a...Ch. 13.2 - Prob. 13.77PCh. 13.2 - The pendulum shown is given an initial speed v0 at...Ch. 13.2 - Prove that a force F(x, y, z) is conservative if,...Ch. 13.2 - The force F = (yzi + zxj + xyk)/xyz acts on the...Ch. 13.2 - Prob. 13.81PCh. 13.2 - Prob. 13.82PCh. 13.2 - Prob. 13.83PCh. 13.2 - Prob. 13.84PCh. 13.2 - Prob. 13.85PCh. 13.2 - A satellite describes an elliptic orbit of minimum...Ch. 13.2 - While describing a circular orbit 200 mi above the...Ch. 13.2 - How much energy per pound should be imparted to a...Ch. 13.2 - Knowing that the velocity of an experimental space...Ch. 13.2 - Prob. 13.90PCh. 13.2 - Prob. 13.91PCh. 13.2 - (a) Show that, by setting r = R + y in the...Ch. 13.2 - Collar A has a mass of 3 kg and is attached to a...Ch. 13.2 - Collar A has a mass of 3 kg and is attached to a...Ch. 13.2 - A governor is designed so that the valve of...Ch. 13.2 - A 1.5-lb ball that can slide on a horizontal...Ch. 13.2 - A 1.5-lb ball that can slide on a horizontal...Ch. 13.2 - Using the principles of conservation of energy and...Ch. 13.2 - Prob. 13.99PCh. 13.2 - A spacecraft is describing an elliptic orbit of...Ch. 13.2 - While describing a circular orbit, 185 mi above...Ch. 13.2 - Prob. 13.102PCh. 13.2 - Prob. 13.103PCh. 13.2 - Prob. 13.104PCh. 13.2 - Prob. 13.105PCh. 13.2 - Prob. 13.106PCh. 13.2 - Prob. 13.107PCh. 13.2 - Prob. 13.108PCh. 13.2 - Prob. 13.109PCh. 13.2 - A space vehicle is in a circular orbit at an...Ch. 13.2 - Prob. 13.111PCh. 13.2 - Show that the values vA and vP of the speed of an...Ch. 13.2 - Show that the total energy E of an earth satellite...Ch. 13.2 - A space probe describes a circular orbit of radius...Ch. 13.2 - Prob. 13.115PCh. 13.2 - A spacecraft of mass m describes a circular orbit...Ch. 13.2 - Using the answers obtained in Prob. 13.108, show...Ch. 13.2 - Prob. 13.118PCh. 13.3 - A large insect impacts the front windshield of a...Ch. 13.3 - The expected damages associated with two types of...Ch. 13.3 - Prob. 13.1IMDCh. 13.3 - Prob. 13.2IMDCh. 13.3 - Prob. 13.3IMDCh. 13.3 - Prob. 13.4IMDCh. 13.3 - Prob. 13.5IMDCh. 13.3 - A 35 000-Mg ocean liner has an initial velocity of...Ch. 13.3 - A 2500-lb automobile is moving at a speed of 60...Ch. 13.3 - Prob. 13.121PCh. 13.3 - A truck is hauling a 300-kg log out of a ditch...Ch. 13.3 - The coefficients of friction between the load and...Ch. 13.3 - Steep safety ramps are built beside mountain...Ch. 13.3 - Prob. 13.125PCh. 13.3 - The 18 000-kg F-35B uses thrust vectoring to allow...Ch. 13.3 - Prob. 13.127PCh. 13.3 - Prob. 13.128PCh. 13.3 - The subway train shown is traveling at a speed of...Ch. 13.3 - The subway train shown is traveling at a speed of...Ch. 13.3 - A tractor-trailer rig with a 2000-kg tractor, a...Ch. 13.3 - The motor applies a constant downward force F =...Ch. 13.3 - An 8-kg cylinder C rests on a 4-kg platform A...Ch. 13.3 - An estimate of the expected load on...Ch. 13.3 - A 60-g model rocket is fired vertically. The...Ch. 13.3 - A 12-lb block, which can slide on a frictionless...Ch. 13.3 - A crash test is performed between an SUV A and a...Ch. 13.3 - Prob. 13.138PCh. 13.3 - Prob. 13.139PCh. 13.3 - Prob. 13.140PCh. 13.3 - The triple jump is a track-and-field event in...Ch. 13.3 - The last segment of the triple jump...Ch. 13.3 - The design for a new cementless hip implant is to...Ch. 13.3 - A 28-g steel-jacketed bullet is fired with a...Ch. 13.3 - A 120-ton tugboat is moving at 6 ft/s with a slack...Ch. 13.3 - At an intersection, car B was traveling south and...Ch. 13.3 - The 650-kg hammer of a drop-hammer pile driver...Ch. 13.3 - Prob. 13.148PCh. 13.3 - Bullet B weighs 0.5 oz and blocks A and C both...Ch. 13.3 - A 180-lb man and a 120-lb woman stand at opposite...Ch. 13.3 - A 75-g ball is projected from a height of 1.6 m...Ch. 13.3 - A ballistic pendulum is used to measure the speed...Ch. 13.3 - Prob. 13.153PCh. 13.3 - Prob. 13.154PCh. 13.4 - A 5-kg ball A strikes a 1-kg ball B that is...Ch. 13.4 - A sphere with a speed v0 rebounds after striking a...Ch. 13.4 - Prob. 13.7IMDCh. 13.4 - Prob. 13.8IMDCh. 13.4 - A 10-kg ball A moving horizontally at 12 m/s...Ch. 13.4 - Prob. 13.10IMDCh. 13.4 - Two steel blocks slide without friction on a...Ch. 13.4 - Prob. 13.156PCh. 13.4 - Prob. 13.157PCh. 13.4 - Prob. 13.158PCh. 13.4 - To apply shock loading to an artillery shell, a...Ch. 13.4 - Packages in an automobile parts supply house are...Ch. 13.4 - Three steel spheres of equal mass are suspended...Ch. 13.4 - At an amusement park, there are 200-kg bumper cars...Ch. 13.4 - At an amusement park there are 200-kg bumper cars...Ch. 13.4 - Prob. 13.164PCh. 13.4 - Prob. 13.165PCh. 13.4 - A 600-g ball A is moving with a velocity of...Ch. 13.4 - Two identical hockey pucks are moving on a hockey...Ch. 13.4 - A billiard player wishes to have ball A hit ball B...Ch. 13.4 - Prob. 13.169PCh. 13.4 - Prob. 13.170PCh. 13.4 - A girl throws a ball at an inclined wall from a...Ch. 13.4 - Prob. 13.172PCh. 13.4 - From experimental tests, smaller boulders tend to...Ch. 13.4 - Prob. 13.174PCh. 13.4 - A 1-kg block B is moving with a velocity v0 of...Ch. 13.4 - A 0.25-lb ball thrown with a horizontal velocity...Ch. 13.4 - After having been pushed by an airline employee,...Ch. 13.4 - Prob. 13.178PCh. 13.4 - A 5-kg sphere is dropped from a height of y = 2 m...Ch. 13.4 - A 5-kg sphere is dropped from a height of y = 3 m...Ch. 13.4 - Prob. 13.181PCh. 13.4 - Block A is released from rest and slides down the...Ch. 13.4 - A 23.1-kg sphere A of radius 90 mm moving with a...Ch. 13.4 - A test machine that kicks soccer balls has a 5-lb...Ch. 13.4 - Ball B is hanging from an inextensible cord. An...Ch. 13.4 - A 70-g ball B dropped from a height h0 = 1.5 m...Ch. 13.4 - A 2-kg sphere moving to the right with a velocity...Ch. 13.4 - When the rope is at an angle of = 30, the 1-lb...Ch. 13.4 - When the rope is at an angle of = 30, the 1-kg...Ch. 13 - A 34,000-lb airplane lands on an aircraft carrier...Ch. 13 - There has been renewed interest in pneumatic tube...Ch. 13 - Prob. 13.192RPCh. 13 - A section of track for a roller coaster consists...Ch. 13 - Two identical 40-lb curling stones have diameters...Ch. 13 - A 300-g block is released from rest after a spring...Ch. 13 - A kicking-simulation attachment goes on the front...Ch. 13 - A 625-g basketball and a 58.5-g tennis ball are...Ch. 13 - Prob. 13.198RPCh. 13 - A 2-kg ball B is traveling horizontally at 10 m/s...Ch. 13 - A 2-kg block A is pushed up against a spring...Ch. 13 - The 2-lb ball at A is suspended by an inextensible...
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