- Q2. Fig. Q2 depicts a stationary cylinder (mass = 5 kg) which is suspended 80 mm above a pre-compressed spring. The sp
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- Q2. Fig. Q2 depicts a stationary cylinder (mass = 5 kg) which is suspended 80 mm above a pre-compressed spring. The sp
- Q2. Fig. Q2 depicts a stationary cylinder (mass = 5 kg) which is suspended 80 mm above a pre-compressed spring. The spring constant is 6 kN/m and the pre-compression of 40 mm is maintained by the wire ties shown. The cylinder is now released from rest and impacts the spring. Assume that the energy loss at impact is negligible. (a) Write down the general equation which links any two energy states of a mechanical system. [4] (b) Hence, and clearly identifying any necessary datum, determine the energy of the spring-mass system shown in the Figure (i.e., in its initial state.) [6] (c) Let x be the maximum compression of the spring following the impact, and determine its value. [10] (d) Assuming that the cylinder is brought to a halt in 0.026s following impact, what is the magnitude of the impulse exerted by the spring on the cylinder? Note: The gravitational force also exerts an impulse. [7] (e) Hence, or otherwise, estimate the average contact force between the cylinder and the spring, during the time of impact. [3] 90 mm E
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