Question

22. Time varying Torque 8t Nm is applied on an object
about pivot. Angular momentum of body at
time t = 2 s is
(1) 4 kg m/s
(2) 16 kg m/s
(3) 8 kg m/s
(4) 32 kg m/s​

Answer 1

Answer:

16 kg m/s

Explanation:

Hope it helps u:)

Answer 2

Answer:

Angular momentum is 16 kg m/s

Explanation:

Given that,

Torque of an object about the pivot, $\tau=8t\ Nm$

Let L is the angular momentum of the body. The relationship between angular momentum and torque is given by :

$\tau=\dfrac{dL}{dt}$

So, $L=\int{8t.dt}$

$L=4t^2$

At t = 2s, the angular momentum is given by:

L = 16 kg m/s

So, the angular momentum of the object is 16 kg m/s. Hence, this is the required solution.