The 5-lb ball, attached to the cord, is struck by the boy. A) Determine the smal
ID: 1829211 • Letter: T
Question
The 5-lb ball, attached to the cord, is struck by the boy. A) Determine the smallest speed he must impart to the ball so that it will swing around in a vertical circle with out causing the cord to become slack. B) Determine the smallest speed of the ball at the top of the vertical circle so that the ball will swing around in a vertical circle, with out causing the chord to become slack.
Please show all work step by step . Thanks
The 5-lb ball, attached to the cord, is struck by the boy. A) Determine the smallest speed he must impart to the ball so that it will swing around in a vertical circle with out causing the cord to become slack. B) Determine the smallest speed of the ball at the top of the vertical circle so that the ball will swing around in a vertical circle, with out causing the chord to become slack.Explanation / Answer
At the Top point
The Limiting Condition is
Centripetal Force = weight
That is
mv^2/L = mg
Therfore
v = sqrt(Lg) ----------------(1)
At ther Botton
0.5*m*V^2 = mg2L + 0.5*m*v^2
0.5*V^2 = 2*4*32.17 + 0.5*(4)*32.17
V = 25.365 ft/sec
From eq(1) , Smallest speed at top = sqrt932.17*4)
= 11.344 ft/sec
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