Question 234: Centre of Mass and Rotational Motion

Question

A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force $'\,\,\overrightarrow F \,\,'$ is applied at the point $P$ parallel to $AB,$ such that the object has only the translational motion without rotation. Find the location of $P$ with respect to $C.$

Accepted Answer

This is a case of translation motion without rotation, the force $\overrightarrow F $  has to be applied at center of mass.
i.e. the point $'P'$ has to be at the centre of mass
$y = {{{m_1}{y_1} + {m_2}{y_2}} \over {{m_1} + {m_2}}}$
$ = {{m 	imes 2\ell  + 2m 	imes \ell } \over {3m}}$
$ = {{4\ell } \over 3}$

Answer

${3 \over 2}L$

Answer

${2 \over 3}L$

Answer

$L$

Answer

${4 \over 3}L$

Centre of Mass and Rotational Motion

A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force '\,\,\overrightarrow F \,\,' is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C.

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