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Q.

Two masses , M and m are connected together by a pulley two strings and a stretched spring of force constant k as shown. Assume that string, pulley and spring all are massless and surface below m is smooth. The amount by which the spring is stretched :

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a

Mgk

b

2mMgkm+M

c

mMgkm+M

d

m+Mg2k

answer is A.

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Detailed Solution

Acceleration of blocks

a=Mgm+M

Tension in the string/spring,

T=ma=mMgm+M

Therefore, extension in the string, x=Tk=mMgkm+M

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