PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The small collar of mass m = 0.77 kg is released from rest at A and slides down the curved rod in the vertical plane with negligible
friction. Find the velocity v of the collar as it strikes the base at B. Set b = 0.52 m, h = 1.85 m.
Answer: Vg =
m/s
The 50-kg block at A is mounted on rollers so that it moves along the fixed horizontal rail with negligible friction under the action of the constant 300-N force in the cable. The block is released from rest at A, with the spring to which it is attached extended an initial amount x1 = 0.233 m. The spring has a stiffness k = 80 N/m. Calculate the velocity v of the block as it reaches position B.
If the 10-g bullet is traveling at 310 m/s when it becomes embedded in the 11-kg block, determine the distance the block will slide up along the plane before momentarily stopping.
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- The 1.5-lb collar slides with negligible friction on the fixed rod in the vertical plane. If the collar starts from rest at A under the action of the constant 2-lb horizontal force, calculate its velocity v as it hits the stop at B.arrow_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_forwardBlock A has a mass of 2 kg and slides into an OPEN-ENDED box B with a velocity of 2 m/s. If the boxB has a mass of 3 kg and rests on top of a plate P that has a mass of 3 kg, determine the distancethe plate moves after it stops sliding on the floor. Also how long in seconds is it after impact before allmotion ceases? The coefficient of kinetic friction between the box and the plate is μk=0.2, andbetween the plate and the floor μ'k=0.2. Also, the coefficient of static friction between the plateand the floor is μ's = 0.5arrow_forward
- Block A has a mass of 2 kg and slides into an open ended box B with a velocity of 2 m/s. If the boxB has a mass of 3 kg and rests on top of a plate P that has a mass of 3 kg, determine the distancethe plate moves after it stops sliding on the floor. Also, how long is it after impact before allmotion ceases? The coefficient of kinetic friction between the box and the plate is μk=0.2, andbetween the plate and the floor μ'k=0.2. Also, the coefficient of static friction between the plateand the floor is μ's = 0.5arrow_forwardThe small collar of mass m = 0.66 kg is released from rest at A and slides down the curved rod in the vertical plane with negligible friction. If b = 0.6ó m, and h = 1.32 m, and if the velocity of the collar as it strikes the base B is 4.14 m/s after release of the collar from rest at A, calculate the work Q of friction. What happens to the energy which is lost? A B Answer: Q = i Jarrow_forwardThe 10-lb block A travels to the right at vA = 3.1ft/s at the instant shown. If %3D the coefficient of kinetic friction is 0.2 between the surface and A, determine the weight of block B that will give block A a final velocity of 7 ft/s when it has moved 4 ft. B.arrow_forward
- The 20-g bullet is traveling at 400 m/s when it becomes embedded in the 2-kg stationary block. Determine the distance the block will slide before it stops. The coefficient of kinetic friction between the block and the plane is Hk = 0.2. 400 m/sarrow_forwardThe 222-kg lunar lander is descending onto the moon's surface with a velocity of 4.5 m/s when its retro-engine is fired. If the engine produces a thrust T for 4.2 s which varies with the time as shown and then cuts off, calculate the velocity of the lander when t = 5.3 s assuming that it has not yet landed. Gravitational acceleration at the moon's surface is 1.62 m/s?. The velocity is positive if moving downward, negative if up. 4.5 m/s T, N 844 2.1 4.2 t, s Answe: v = i m/sarrow_forwardThe collar has a mass of 4-kg and is attached to the light spring, which has a stiffness of 0.042 kN/m and an undeformed (unstretched) length of 1.25 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant force F. Determine the force F which must be applied on the collar so that the block achieves a speed 2.5 m/s 1.4 m 30 when it reaches B A -2 marrow_forward
- The 5 kg mass at point A is at rest on the spring with k = 300 N/m when t=0s. At this instant, 150 N force is applied to the cable. What is the velocity of mass when it has risen 0.3 m?arrow_forwardThe spring has a stiffness k = 50 lb/ft and an unstretched length of 2 ft. As shown, it is confined by the plate and wall using cables so that its length is 1.5 ft. A 5-lb block is given a speed A when it is at A, and it slides down the incline having a coefficient of kinetic friction µ = 0.2. It strikes the plate and pushes it forward 0.25 ft before stopping. Neglect the mass of the plate and spring. (Figure 1), Figure k = 50 lb/ft 1.5 ft 3 ftarrow_forwardThe simple pendulum A of mass ma = 3.9 kg and length I = 1.51 m is suspended from the trolley B of mass me = 7.9 kg. If the system isreleased from rest at 0 = 0, determine the velocity g (positive if to the right, negative if to the left) of the trolley when 0 = 90° Friction is negligible.arrow_forward
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