1. A3-kg block is placed on top of a 7-kg block as showWn below. 3 kg 7 kg The coefficient of kinetic friction between the 7-kg block and the surface is 0.35. A horizontal force Facts on the 7-kg block. (a) Draw a free-body diagram for each block. (b) Calculate the magnitude of the applied force F necessary to maintain an acceleration of 5 m/s. (c) Find the minimum coefficient of static friction necessary to prevent the 3-kg block from slipping.

b) A 4 kg block is pulled along a rough inclined plane by a force of 71 N as shown in Figure 2. Given the coefficient of friction between the block and inclined plane is 0.4. i. Draw a free body diagram. ii. Calculate the acceleration of the block. 37⁰ Figure 2

A 5 kg box is at placed on a rough horizontal surface.  The coefficient of kinetic friction between the surface and the box is 0.2.  Now 20 N force is applied on the box 300 above horizontal.    Label all forces acting on the box. Determine the acceleration of the box. If applied force is removed after 10 seconds, calculate total distance the box moves along the surface.

7. The ramp is initially at a horizontal position. The ramp is raised slowly to an angle of 36°, and the block starts to move down the ramp as in Fig Q7. The block has a mass of 2kg (a) Draw the free body diagram of the block when the block start moving. (b) stop Find the coefficient of friction between the ramp and the wooden block if the block accelerates at 0.150 m s2 down the ramp. 0.630 m -ramp wooden block

A ope exerts a force f on a 20.kg crate. The crate Starts m rest and accelerates upward at S.00mlst near_surface force f in valsing the crate 4.0m above the floor?

3. A block shown below is stationary at the top of an incline plane. (a) Draw a free body diagram for the block. (b) What is the coefficient of static friction? The block is then given a push and the acceleration measured as the block slides down the plane is 2.1 m/s². (c) What is the coefficient of kinetic friction? (d) If the block reaches the bottom of the incline with speed 8 m/s, what is the initial speed of the block right after the push? 22° 8. 34 m

Draw a free body diagram of an object on a ramp and analyze the forces. Explain why the slope of the ramp can be used to determine the coefficient of friction. Use math to expalin your answer.

4. For the situation shown in the figure, B A 7 kg smooth F=100 N3 kg (a) Draw the free body diagrams of A and B. (b) Solve the acceleration of the blocks A and B? (c) Solve the magnitude of force applied by A on B. 5. For the situation, shown in the figure, 10 ke 30 (a) Draw the free-body diagram of 10-kg box (b) Solve the acceleration of the box. (c) Solve the force exerted by the box on the incline. All contact surfaces are assumed frictionless. 6. Two masses of 5kg and 10kg connected by a massless string passing over a frictionless pulley are in equilibrium as shown in the figure. One of the mass is resting on the surface. Solve : (a) Tension in the string. (b) Normal reaction onthe 10kg block(takeg=10m/s³) 7.

Q5. As in Fig. if the mass of its body is 10 kg. Calculate the acceleration of the body if the coefficient of kinetic friction uk= 0.2. 100N 30

Find the acceleration of the 40-kg object in the diagram below.  Assume that the applied force makes an angle 25 degrees above horizontal and the coefficient of kinetic friction between the box and surface is .12.  (You will need to complete the free-body diagram in order to calculate this.)