The system is released from rest in the position shown. Calculate the tension Tin the cord and the acceleration a (positive if to the right, negative if to the left) of the 20-kg block. The small pulley attached to the block has negligible mass and friction. (Suggestion: First establish the kinematic relationship between the accelerations of the two bodies.) 20 kg Hg = HA = H = 0.27 10 kg Answers: T= i m/s2

Collars A and B slide along the fixed right-angle rods and are connected by a cord of length L = 4.3 m. Determine the acceleration of collar B when y = 1.3 m if collar A is given a constant upward velocity VA = 2.81 m/s. The acceleration of B is positive if to the right, negative if to the left. A Answer: ab = L i B m/s2

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Determine the steady-state angle a if the constant force P = 160 N is applied to the cart of mass M = 27 kg. The cart travels on the slope of angle e = 18°. The pendulum bob has mass m = 7 kg and the rigid bar of length L = 1.2 m has negligible mass. Ignore all friction. M L т Answer: a = i

D'Alembert's principle

At the instant w = 5 rad/s, pulley A is given an angular acceleration α1 = (0.80) rad/s2, where is in radians (Figure 2). Determine the magnitude of acceleration of point B on pulley C when A rotates 3 revolutions. Pulley C has an inner hub which is fixed to its outer one and turns with it. α A 50 mm 60 mm B 40 mm

Determine the initial acceleration of the 10-kg smooth collar. The spring has an unstretched length of 1 m 3 m k - 10 N/m Problem No.4 Write the equations of motion in the x and y directions for the 10-kg block. He = 0.2 30

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