A spring is used to arrest the motion of a block that is dro

A spring is used to arrest the motion of a block that is dropped from the height of h from an at-rest position. Determine the maximum contact force between the spring and the mass assuming that m = 12 lb, h = 17 in, and delta = 2.5 in.

Solution

i convert in SI units and solved the problem

we know angular velocity of body w = square root of 9.8/ 63.5 mm = 0.392 rad /s,

Maximum accelaration = w2 x h = square of 0.392 x 431.8 = 66.35 m/s2

max force = m x a = 304.8 x 66 .35 = 20223.5 N