Question

A bead with a hole through it slides on a wire track. The wire is threaded through the hole in the bead, and the bead slides without friction around a loop-the-loop (see figure below). The bead is released from rest at a height h 3.20R (a) what is its speed at point (Use the following as necessary: the acceleration due to gravity g, and R.) (b) How large is the normal force on the bead at point if its mass is 5.50 grams? magnitude 0.077 direction downward Need Help? ReadtMaster i

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Answer #1

A)

By Conservation of energy

mgh =(1/2)mV2+mg(2R)

mg(3.2R) =(1/2)mV2+mg(2R)

1.2gR =(1/2)V2

V2.4g

b)

Normal force at point A

N=mV2/R -mg =m[2.4gR/R -g] =m[1.4g] =(5.5*10-3)(1.4*10)

N=0.077 N

Direction is downwards

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