A T shaped uniform density object with dimensions shown in the figure is lying on a smooth floor. A force overset arrow 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 .

Question

A T shaped uniform density object with dimensions shown in the figure is lying on a smooth floor. A force overset arrow 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 . Question

(A) (4/3)l (B) l (C) (3/4)l (D) (3/2)l

Tardigrade Admin · Accepted Answer

It is a case of translation motion without rotation. The force should act at the centre of mass Y cm =(( m × 2 l )+(2 m × 1)/ m +2 m )=(4 l /3) ( considering point C as origin )

Q. A $T$ shaped uniform density object with dimensions shown in the figure is lying on a smooth floor. A force $F \to$ is applied at the point $P$ parallel to $A B$ such that the object has only the translational motion without rotation. Find the location of $P$ with respect to $C$ .

$\frac{4}{3} l$

$l$

$\frac{3}{4} l$

$\frac{3}{2} l$

It is a case of translation motion without rotation. The force should act at the centre of mass
$Y_{c m} = \frac{( m \times 2 l ) + ( 2 m \times 1 )}{m + 2 m} = \frac{4 l}{3}$
( considering point $C$ as origin )

34​l

l

43​l

23​l

It is a case of translation motion without rotation. The force should act at the centre of mass Ycm​=m+2m(m×2l)+(2m×1)​=34l​ ( considering point C as origin )

$\frac{4}{3} l$

$l$

$\frac{3}{4} l$

$\frac{3}{2} l$

It is a case of translation motion without rotation. The force should act at the centre of mass
$Y_{c m} = \frac{( m \times 2 l ) + ( 2 m \times 1 )}{m + 2 m} = \frac{4 l}{3}$
( considering point $C$ as origin )