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Q.

A particle of mass m slides on a frictionless surface ABCD, starting from rest as shown in figure. The part BCD is a circular arc. If it looses contact at point P, the maximum height attained by the particle from point C is

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a

R2+122

b

R1+122R

c

3R

d

None of these

answer is A.

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Detailed Solution

Applying conservation of energy, we get2mgR−mgR2=12mu2⇒u=4gR−2gRHmax=R+R2+u2sin2⁡45∘2g=R+R2+4gR−2gR2g×2=2R+R2−R22=R2+122
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