The torque on a body about a given point is found to be equal to , where is a constant vector and is

Question

The torque on a body about a given point is found to be equal to , where is a constant vector and is the angular momentum of the body about the point. From this it follows that

Accepted Answer

(a)

i.e.,

This relation implies that

is perpendicular to both

and

.
Therefore, option (a) is correct.
(c) Here,

Differentiating w.r.t time, we get

= 2L

⇒

.

= 2L

But since,

⏊

∴

.

= 0
Therefore, from eq (i)

= 0
or magnitude of

i.e., L does not change with time.
(b) So far we are confirm about two points
(1)

or

⏊

and
(2)

= L is not changeing with time, therefore, it is a case when direction og

is changing but its magnitude is constant and

is perpendicular to

at all points. Theis can be written as
If

Here, a = positive constan

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