The 6.0-kg cylinder is released from rest in the position shown and compresses t

Question

The 6.0-kg cylinder is released from rest in the position shown and compresses the spring of stiffness k = 2.15 kN/m. Determine the maximum compressionxmax of the spring and the maximum velocity vmax of the cylinder along with the corresponding deflection x of the spring.

The 6.0-kg cylinder is released from rest in the position shown and compresses the spring of stiffness k = 2.15 kN/m. Determine the maximum compressionxmax of the spring and the maximum velocity vmax of the cylinder along with the corresponding deflection x of the spring.

Explanation / Answer

maximum velocity is at the instant it touches spring....and maximum extension is at equilibrium....

mgh=0.5mv^2 6*g*130mm=0.5*6*v^2

hence max vel = 1.6ms-1

mg(x+135mm) = 0.5 *k*x^2

maximum compression is 54.82 mm

perfect answer

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