PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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400 mm
The spring attached to the mass of m = 0. 5 kg sliding collar has
a stiffness of k = 0.21 kN/m and a free length of 150 mm. If the
speed of the collar in position A is 4 m/s to the right, determine
the total energy and the speed of the collar in position B, Neglecet
100 mm
friction.
200
The 300-kg bar B, originally at rest, is being towed over a series of small
rollers. Determine the force in the cable when t = 5s, if the motor M is
drawing in the cable for a short time at a rate of v = (0.47²) m/s, where t is in
seconds (0 <= t<= 6 s). How far does the bar move in 5s? Neglect the mass
of the cable, pulley, and the rollers.
M
B
The 5-lb collar is released from rest at A and travels along the frictionless guide.
Determine the speed of the collar when it strikes the stop B. The spring has an
unstretched length of 0.5 ft.
-k = 4 lb/ft
15 ft
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- The steel ingot has a mass of 1940 kg. It travels along the conveyor at a speed v= 0,2 m/s when it collides with the "nested" spring assembly. If the stiffness of the outer spring is Ka= 5 kN/m, determine the required stiffness Kb of the inner spring so that the motion of the ingot is stopped at the moment the front, C, of the ingot is 0.3 m from the wall. (Answer in kN/m) 0.5 m -0.45 m kB k Barrow_forwardThe spring of constant k = 120 N/m is unstretched when the slider of mass m = 1.6 kg passes position B. If the slider is released fre rest in position A, determine its speed as it passes points B and C. What is the normal force exerted by the guide on the slider at position C? Neglect friction between the mass and the circular guide, which lies in a vertical plane. The distance R = 0.95 m. m B Answers Vg = m/s Vc= i m/s Nc=arrow_forwardThe 5-lb collar slides on the smooth rod, so that when it is at 4 it has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 3 ft. and a stiffness of k = 10 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. Solution: 2 ft 10 ft/sarrow_forward
- The 5.27 kg collar B rests on the frictionless arm AA! The collar is held in place by the rope attached to drum D and rotates about O in a horizontal plane. The linear velocity of the collar B is increasing according to v = 0.2 t2 where v is in m/s and tis in seconds. Find the tension in the rope and the force of the bar on .the collar if 5 s,r= 0.558 m and 0 = 58° A A' Darrow_forwardSolve it correctly please. Iarrow_forward4. The 5-lb collar slides on the smooth rod, so that when it is at A is has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 3 ft and a stiffness of k = 16 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. 10 ft/s cy =8-arrow_forward
- 3. The smooth 160-lb pipe has a length of 20 ft and a negligible diameter. It is carried on a truck as shown. Determine the maximum acceleration which the truck can have without causing the normal reaction at A to be zero (i.e. lifting the pipe). Also determine the horizontal and vertical components of force which the truck exerts on the pipe at B at that acceleration. 20 ft 5 ft B 12 ftarrow_forwardEach of the two elastic rubber bands of the slingshot has an unstretched length of 200 mm. If they are pulled back to the position shown and released from rest, determine the speed of the 32-g pellet just after the rubber bands become unstretched. Neglect the mass of the rubber bands. Each rubber band has a stiffness of k = 55 N/m. 240 mm 50 mm 50 mmarrow_forwardThe steel ingot has a mass of 1800 kg. It travels along the conveyor at a speed v=0.5m/s when it collides with the "nested" spring assembly. If the stiffness of the outer spring is kA=5kN/m, determine the required stiffness kB of the inner spring so that the motion of the ingot is stopped at the moment the front, C, of the ingot is 0.3 m from the wall.arrow_forward
- The 6-lb box slides on the surface for which u: = 0.3. The box has a velocity v = 15 ft /s when it is 2 ft from the plate. v = 15 ft /s 2 ft Part A If the box strikes the smooth plate, which has a weight of 23 lb and is held in position by an unstretched spring of stiffness k = 340 lb /ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. Express your answer using three significant figures and include the appropriate units. ANSWER: x =arrow_forwardThe 600-kg bar B, originally at rest, is towed over a series of small rollers. The motor M is drawing in the cable at a rate of v = (0.3 t2) m/s, where t is in seconds. Determine the force in the cable when t = 2 sarrow_forwardThe 5-lb collar slides on the smooth rod, so that when it is at A it has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 2 ft and a stiffness of k = 7.6876 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. 10 ft/s y = 8-arrow_forward
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