A 200 lb block moving on a smooth horizontal plane with a velocity of 4 ft/s strikes a horizontal spring having a spring constant of 160 lb/in. Determine the maximum compressive force developed in the spring.
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- Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the unknowns.4. A six-pound weight hanging from the end of a spring is pulled 10 centimeters below its resting position and released; it takes 0.9 seconds to complete a cycle. Determine an equation for the motion of the weight, assuming that it is 10 centimeters below its resting position and rising at t = 0. 16165 -- below t=0 t=0.93. 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 %3D kg block rests is frictionless. A constant horizontal force of magnitude F = 10.0 N 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. L 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?
- The lower block of mass m2 = 3.2 kg is pulled on by a rope with a tension force of 28 N. The upper block has mass m1 = 1.8 kg. The coefficient of kinetic friction between the lower block and the surface is 0.32. The coefficient of kinetic friction between the lower block and the upper block is also 0.32. What is the acceleration of the 3.2 kg block?1. A cart is being pulled by a motor. The cart has a mass of m = 200 kg. The motor applies a horizontal force of F = 800 N to the center of the right side of the cart. The cart is 1m tall, the total length is 1.5m, the wheels are 1m apart from each other, and the center of mass G is 0.4 m above the floor and on the horizontal center. Ignore friction. If there is no rotational movement of the cart, determine the following: 1. The cart's acceleration 2. The reaction (normal) force at the front pair of wheels. 3. The reaction (normal) force at the rear pair of wheels. F 77 TI TKhufra works at a spring factory and he was assigned to test a certain spring, whose constant is 80 N/m, attached to a 22-kg block in an incline (0 = 55°). With the spring initially at equilibrium position, the block was pushed 0.5 meters up the incline by a 42-N external force applied parallel to the path. If the coefficient of kinetic friction is 0.3, determine the work done by the spring (in Joules). Use g = 9.81 m/s². CO
- 3. 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 = 10.0 N 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. 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?3. 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?SHOW COMPLETE SOLUTION A 5kg block rests on the smooth incline (30 degrees above horizontal) and is attacked on a spring originally stretched by 0.5m. Determine the total work done by all the forces acting on the block when a force P= 400N parallel to the inclined pushes the block up the plane at distance 1.5m
- According to the figure where a mass M = z/100 kg on the frictionless floor is being pushed by horizontal m force F. A mass m = 3.00 kg is placed on top of M F M and the coefficient of static and kinetic friction between the surfaces are 0.500 and 0.300, respectively. Find the maximum value of F (in Newton) which allows mass m to move with mass M without slipping. (Use g = 9.80 m/s2)The crate with a mass of 80 kg is being towed by a chain which is directed at 20°. Find the crate acceleration in t = 2 s if the force P = 90t² N, normal force of 661.67 N and the coefficient of kinetic friction = 0.3. O a. 7.51 m/s² O b. 1.75 m/s² O c. 3.50 m/s² d. 2.44 m/s² 20° PMass of both blocks = 14kg. The friction coefficient for this bar is µ= 0.4. The spring constant k= 60 N/m. The spring is compressed 0.1 m and then released. d a Find: www 1. The magnitude of block B's acceleration 2. The magnitude of tension of the rope A B a=?