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Question

An L shaped rod of mass m and dimensions as shown in figure is hinged at one end and is tied to string at the other end. As soon as we cut string,

A
Angular acceleration of rod is 3g10L
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B
Acceleration of point C is 3g210 m/s2
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C
Acceleration of point C is 3g10 m/s2
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D
Acceleration of point B is 3g10 m/s2
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Solution

The correct options are
A Angular acceleration of rod is 3g10L
B Acceleration of point C is 3g210 m/s2
D Acceleration of point B is 3g10 m/s2

τA=m2gL2=mgL4

IA=M2L23+[M2L212+m2×5L24]

IA=56mL2

τA=IAαmgL4=56mL2αα=3g10L

aC=2Lα=32g10

aB=Lα=3g10

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