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Q.

A small block of mass m slides along a smooth frictionless track as shown in figure.  At what height above the bottom of the loop should the block be released so that the force it exerts against the track at top of the loop equals it weight:

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a

4R

b

R

c

2R

d

3R

answer is C.

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Detailed Solution

For block to exert force on track equal to weight, we use at topmost point

mv2R=2mg⇒v2=2 Rg

mg(h)=12m(2Rg)+mg(2R)

h=3R

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