PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The 8-kg block is moving with an initial speed of 5 m/s. If the coefficient of kinetic friction between the block and plane is μk=0.25, determine the compression in the spring when the block momentarily stops.
In the position shown, block A is moving to the left at a speed of 9 m/s, and the spring is undeformed. Determine the stiffness of the spring k, in N/m, that would cause the system to stop after A has displaced 0.8 m.
The coefficient of kinetic friction between block A and the horizontal surface is 0.25, and the weights on the pulleys are negligible.
The mass of block A is 3.0 kg, and the mass of block B is 5.5 kg.
k
0000000000
VA
A
Мек
B
The 56.28 kg crate is hoisted up the 0 = 27° incline by
the pulley system and motor M. If the crate starts from
rest and, by constant acceleration, attains a speed of
8.17 m/s after traveling 7.84 m along the plane,
determine the supplied power to the motor if the crate
has moved 8 m and the coefficient of kinetic friction
between the plane and the crate is Hk = 0.3. Neglect
friction along the plane. The motor has an efficiency
of 0.691.
M
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Similar questions
- 2. The 25-kg box is launched from the position shown along the rough horizontal plane with the velocity of 8 m/s. Determine the distance r that the box will travel before the spring stops the forward motion. The coefficient of kinetic friction between the box and the plane is uk = 0.2, and the spring constant is k = 150 N/m.arrow_forwardQ6: The 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 forceF which must be applied on the collar so that the block achieves a speed 2.5 m/s when it reaches B B 1.4 m 2 marrow_forwardThe overworked Amazon delivery person is driving up a steep hill with an incline of 26° when a box they forgot to secure starts sliding toward the back of the truck. The 3.5 kg box starts from rest near the drivers seat and slides 2.1 m along the floor to the rear door. The coefficient of kinetic friction between the box and the floor is 0.36. What is the work done by the weight of the box? Wmg What is the work done by the Normal Force? WN What is the work done by the frictional force? Wf = = = J What is the net work done on the box? Wnet = What the change in kinetic energy for the box? AKE = How fast is the box moving just before it hits the rear door? Vfinal = Sarrow_forward
- When s = 55 cm, the spring is unstretched and the 9-kg block has a speed of 6.19 m/s down the smooth plane. If the coefficient of kinetic friction between the surface and the block is 0.25, find the distance (mm) s at which the block stops. k = 208 N/m 6.19 m/s F = 118 N 30arrow_forwardBodies A and B are connected by a flexible cable as shown in the picture below. The weights of bodies A and Bare 30 lb and 20 lb, respectively. The kinetic coefficient of friction between body A and the inclined surface is 0.30 while the horizontal surface supporting the body B is considered to be smooth. When the bodies are in the position shown, body B is moving to the right with a speed of 5 ft/s. Determine the tension in the cable connecting the bodies.arrow_forwardThe 1.9-kg slider is released from rest in position A and slides without friction along the vertical-plane guide. Determine the normal force exerted by the guide on the slider (a) just before it passes point C, (b) just after it passes point C, and (c) just before it passes point E. The normal forces are positive if they point up and/or to the left, negative if they point down and/or to the right.arrow_forward
- The 2 kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.40. a. Calculate the friction between the collar and the rod. b. Calculate the work done by gravity on the collar when the collar stop on the springarrow_forwardThe 30-kg block A and 20-kg cylinder B are connected by a light cord passes over a 5-kg pulley (disk). The radius of the pulley is 100 mm. If the system is released from rest, determine the cylinder's velocity after it has traveled downwards 2 m. The coefficient of kinetic friction between the block and the that horizontal plane is µk = 0.15. Assume the cord does not slip over the pulley. 100 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 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
- Q6: The 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 when it reaches B 1.4 m 30arrow_forwardThe 10-kg block A rests on the 50-kg plate B in the position shown. Neglecting the mass of the rope and the pulley, and using the coefficients of kinetic friction 4AB = 0.28 and upc = 0.09, determine the time needed for block A to slide d = 0.5 m on the plate when the system is released from rest. < O Oarrow_forwardDetermine the constant force P required to cause the 0.39-kg slider to have a speed v2 = 0.89 m/s at position 2. The slider starts from rest at position 1 and the unstretched length of the spring of modulus k = 210 N/m is 180 mm. Neglect friction.arrow_forward
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