First slide

Pseudo force

Question

A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity $\vec{V} = (5 \hat{i} + 2 t \hat{j}) m / s$ . Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. What is the total force exerted by the sphere on the cube. (Take g = 10 $m / s^{2}$ )

Moderate

A

$\sqrt{29} N$
B

24 N
C

26 N
D

$\sqrt{89} N$

Solution

$As \vec{v} = 5 \hat{i} + 2 t \hat{j} ∴ \vec{a} = a_{x} \hat{i} + a_{y} \hat{j} = + 2 \hat{j}$
$\vec{F} = m a_{x} \hat{i} + m (g + a_{y}) \hat{j}$
$∴ | \vec{F} | = m \sqrt{a_{x}^{2} + {(g + a_{y})}^{2}} = 24 N$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App