A 5-lb block is attached to a cable and to a spring as shown. The constant of the spring is k = 8 lb/in. and the tension in the cable is 2 lb. If the cable is cut, determine (a) the maximum displacement of the block, (b) the maximum speed of the block. 5 lb www

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Q3. One ball of mass m = 0.7 kg is being swung in the vertical, circular path with radius of r = 2.3 m. At the instant shown, the ball is moving at a speed of v = 5.8 m/s. Determine the tension force in the cable OA. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². Your Answer: Answer A 45° units

7. Consider the system shown below. The spring is connected via a cable to the non-rotating shaft of the roller with mass m₂ and radius R. A second cable connected to the shaft passes through the two pulleys. k ww χ M₁ Use conservation of energy to derive the equations of motion. The equilibrium position corresponds to x = 0. Neglect the masses of the pulleys and assume the cable is inextensivle.