Question 233: 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.

Choose the correct answer: