You visited us 1 times! Enjoying our articles? Unlock Full Access!

Problem Solving

A solid spher...

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 $v = (5 t^i + 2 t^j) m / s$ . 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 $g = 10 m / s^{2}$ )

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
As $\to v = 5 t^i + 2 t^j ∴ \to a = a_{x}^i + a_{y}^j = 5^i + 2^j$
$\to F = m a_{x}^i + m (g + a_{y})^j$
$∴ | \to F | = m \sqrt{a_{x}^{2} + (g + a_{y})^{2}} = 26 N$

Suggest Corrections

Similar questions

2 k g

F i g .

\to v = (5 t^i + 2 t^j) m s^{- 1}

v = (5 t^i + 2 t^j) m/s

t

g = 10 m / s^{2}

1 k g

\to v = 8 t^i - 2 t^{2}^j .

t

t = 1

g = 10 m s^{- 2}

3 kg

(g = 10 {m/s}^{2})

1 kg

\to v = 8 t^i - 2 t^{2}^j

t

t = 1 s

g = 10 {ms}^{- 2}

Join BYJU'S Learning Program