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Question: A T shaped object with dimensions shown in fig, is lying on a smooth floor. A force F is applied at ...

A T shaped object with dimensions shown in fig, is lying on a smooth floor. A force F is applied at point P parallel to AB such that the object has only translational motion without rotation. Find location of P from C

A
B

321\frac { 3 } { 2 } 1

C

431\frac { 4 } { 3 } 1

D

l

Answer

431\frac { 4 } { 3 } 1

Explanation

Solution

P should be COM. Take C as origin x

= 2 m(1)+m(21)2 m+m=413\frac { 2 \mathrm {~m} ( 1 ) + \mathrm { m } ( 21 ) } { 2 \mathrm {~m} + \mathrm { m } } = \frac { 41 } { 3 }