5:41 PM G 30° 200 lb Expert Help 'AC EikKTO#1996 10:23 350 lb The two blocks shown are originally at rest. Neglecting the masses of the pulleys and the effect of friction in the pulleys and between block A and the incline, determine (a) the acceleration of each block, (b) the tension in the cable. 30° 200 lb B 350 lb The two blocks shown are originally at rest. Neglecting the masses of the pulleys and the effect of friction in the pulleys and between block A and the incline, determine (a) the acceleration of each block, (b) the tension in the cable. STEP BY STEP SOLUTION Analyze Block A (200 lb) rests on a 30° incline. Block B (350 lb) hangs vertically. The task is to determine: The acceleration of each block. The tension in the cable. Analyze FBD is shown below.

Please help in 3, 4, and 5

The system shown below is released from rest and slider B moves to the right with the constant acceleration of aB = 4 m. Force P= 21 Newtons is always acting on slider B. Consider massless-frictionless pulleys and massless cable and mass of slider B is 2 kg. What is the magnitude of normal force developed between slider B and the rail in Newtons. Consider g =10 . m

4) This Atwood's machine includes two blocks connected by a cable, going over a pulley without slipping. Block 1 (30.0 kg) is connected to a spring (70.0 N/m), and slides on a horizontal surface with a coefficient of kinetic friction of 0.0100. Block 2 is 50.0 kg, and hangs vertically from the cable. The pulley is a disk with a radius of 0.500 m, and its moment of inertia about the center of mass is 10. 0 kg-m“. a) Draw the three free body diagrams, and write out Newton's 2nd Law for each. b) Derive the equation of motion (inhomogeneous 2nd order ODE) for this system. c) Use u-substitution to rewrite this as a homogeneous 2nd order ODE. d) Assume the position x as a function of time t is of the form x(t) = A cos (wt + p) I disk for undamped natural frequency w, phase angle P, and amplitude A. The initial conditions are: x(0) v(0) = -3. 00 m/s. Solve for the position of the mass as a function of time (you need to solve for w, 4, and A). = 2. 00 m and Mz

Q5.) Wedge B is positioned above wedge A as shown. Each wedge has a mass of 12 kg. A linear elastic spring attached to wedge A has a spring constant of 3 kN/m and is currently compressed 0.06 meters from its unstretched length. The coefficient of static friction between the two wedges is 0.5 and the coefficient of static friction between wedge A and the ground is 0.35. A force of P is applied to the corner of wedge B at an angle 30°. Determine the minimum applied force that would cause motion to occur and specify how the system will move. k = 3 kN/m W A 20° B P 30°

Q5.) Wedge B is positioned above wedge A as shown. Each wedge has a mass of 12 kg. A linear elastic spring attached to wedge A has a spring constant of 3 kN/m and is currently compressed 0.06 meters from its unstretched length. The coefficient of static friction between the two wedges is 0.5 and the coefficient of static friction between wedge A and the ground is 0.35. A force of P is applied to the corner of wedge B at an angle 30°. Determine the minimum applied force that would cause motion to occur and specify how the system will move. k = 3 kN/m A B 20⁰ 30°

Consider the following diagram. m1320 kg and m2= 10 kg. The system is being pulled by an applied force of 200 N, directed 50 above the horizontal. The coefficient of kinetic friction between the block and the surface is u=0.2. 500 20kg m, 10 kg Coeficent of friction 4= 0.2 30 7) Calculate the acceleration of the system. * Your answer 8) Calculate the magnitude of the Tension on the rope. Your answer

Block A is sliding down and pulling up both Block B and Block C. Find the accelerations of each body and the tension of rope if the coefficient of friction at Block A is 0.25 and at Block C is 0.35 A= 2000b B= 500 b C: 1000lb 314 A

2. Two blocks connected by a string passing over a pulley are on ramps inclined at 32 degrees and 25 degrees. The mass of block #1 is 1.8 kg and the mass of block #2 is 1.0 kg. Between block #1 and its ramp, the coefficients of static and kinetic friction are 0.15 and 0.10, respectively. There is no friction between block #2 and its ramp. The system is released from rest and the blocks move. The pulley is massless and frictionless, so you can ignore the pulley. b. C. d. 32° 25° Draw a free body diagram (FBD) for each block. Include all of the forces acting on the two blocks. Apply Newton's Second Law to each block to obtain an equation for the forces acting on each block in the x-direction and an equation for the forces acting on each block in the y-direction. Consider the information provided about this system. When the blocks are released from rest, what direction will the blocks move? Explain why? Calculate the acceleration of the blocks. I

7. A car whose brakes are locked skids to a stop 70 m from an initial velocity of 80 km/h. Find the coefficient of kinetic friction.