First slide

Pseudo force

Question

A solid sphere of mass 2kg is resting inside a cube as shown in the figure. The cube is moving with a velocity $\large \vec v = (5t\hat i + 2t\hat j)m{s^{ - 1}}.$ Here t is time in seconds. All surfaces are smooth. The sphere is at rest with respect to the cube. What is the total force exerted by the sphere on the cube?

Moderate

A

26N
B

16N
C

20N
D

18N

Solution

$a_x=\frac {d}{dt}(5t)=5m/s^2, a_y=\frac {d}{dt}(2t)=2m/s^2$
F_x = ma_x = 10N
F_y = mg + ma_y = 20 + 4 = 24N
$F=\sqrt {24^2+10^2}=\sqrt {576+100}=\sqrt {676}=26N$

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