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Block A has a mass mA and is attached to a spring having a stiffness k and unstretched length l0. If another block B, having a mass mB, is pressed against A so that the spring deforms a distance d, show that for separation to occur it is necessary that
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Engineering Mechanics: Statics & Dynamics (14th Edition)
- The 600-lb cable spool is placed on a frictionless spindle that has been driven into the ground. If the force required to start the spool rotating is F = 160 lb, determine the coefficient of friction between the ground and the spool. Neglect the diameter of the spindle compared to the diameter of the spool.arrow_forwardThe leather rein used to fasten the horse to the hitching rail weighs 3.5 oz per foot. The coefficient of static friction between the rail and the rein is 0.6. If a 34-lb force acting on the bridle is sufficient to restrain the horse, determine the smallest safe length L for the free end of the rein.arrow_forwardSolve it correctly please. I will rate accordingly.arrow_forward
- 2. The two blocks are attached to each other by a massless string that is wrapped around a frictionless pulley as shown in figure-2. When the bottom 4.00 kg block is pulled to the left by the constant force P = 45 N, the top 2.00 kg block slides across it to the right. Assume that the coefficient of kinetic friction between all surfaces is µk = 0.400 2.0 kg 4.0 kgarrow_forward3. A block of mass m = 2.00 kg rests on the left edge of a block of mass M= 8.00 kg. The coefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00 kg block rests is frictionless. A constant horizontal force of magnitude F= 10.0N is applied to the 2.00-kg block, setting it in motion as shown in Figure. The distance L that the leading edge of the smaller block travels on the larger block is 3.00 m. F - m M M (a) Draw a separate free-body diagram for each block. (b) In what time interval will the smaller block make it to the right side of the 8.00-kg block? as (Note: Both blocks are set into motion when the force is applied.) (c) How far does the 8.00-kg block move in the process?arrow_forwardQuestion 4 g [ Blocks A and B have a mass of 100 kg and 150 kg, respectively. If the coefficient of static friction between A and B and between B and € is u, = 0.25, and between the ropes and the pegs D and E ! = 0.5, determine the smallest force F needed to cause motion of block B if P =30N. v Aarrow_forward
- The uniform 52-kg slender bar is initially at rest on a smooth horizontal plane when the forces are applied. If P₁ = 20 N and P₂ = 86 N, they are constant and are always perpendicular to the slender bar, determine angle (in degree) when time t = 0.40 s has passed. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. 0.75 m P₁ Your Answer: Answer 1.75 m 0.5 m P₂arrow_forwardThe 54-lb block rests on the rough surface for which the coefficient of kinetic friction is μk = 0.2. A force F=(40+s2)lb, where s is in ft, acts on the block in the direction shown. The spring is originally unstretched (s= 0) and the block is at rest. (Figure 1) Figure 1 of 1A picture shows a block laying on a horizontal surface with a spring of stiffness k equal to 20 pounds per foot attached to its right side. The other end of the spring is pressed against the wall. Force F is pushing the block to the right and downwards, at an angle of 30 degrees below the horizontal. Determine the power developed by the force the instant the block has moved s = 1.5 ft.arrow_forwardBlock A has a mass mA and is attached to a spring having a stiffness k and unstretched length l0. If another block B, having a mass mB, is pressed against A so that the spring deforms a distance d, show that for separation to occur it is necessary that d > 2µkg(mA + mB )/k, where µkis the coefficient of kinetic friction between the blocks and the ground. Also, what is the distance the blocks slide on the surface before they separate?arrow_forward
- also determine the force exerted by loop ABCD on the block at point C is _____ N.arrow_forward3. Blocks AA and BB of mass 10 kg and 4 kg respectively, are placed on the inclined plane and released. The coefficients of kinetic friction between the blocks and the inclined plane are μAμAmuA = 0.1 and μBμBmuB = 0.5. Neglect the mass of the linkarrow_forward1. Block A has a mass of 0.5 kg and slides on a frictionless shaft. The spring of k = 10 N/m had an unstretched length of 0.17 m before being stretched to attach to block A. If the block is released from rest, determine how fast the block is traveling right before it hits the ground. The distance d = 1.0 m. 0.8m wak = 10% 4-arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L