Last Updated On [03-11-2023]
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 that point. From this it follows that
a)
is perpendicular to 
at all instants of time
b)
The component of 
in the direction of 
does not change with time
c)
The magnitude of 
does not change with time
d)
does not change with time
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 that point. From this it follows that
a)
is perpendicular to at all instants of time
b)
The component of in the direction of does not change with time
c)
The magnitude of does not change with time
d)
does not change with time
Question ID - 100659 :-
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 that point. From this it follows that
a)
is perpendicular to at all instants of time
b)
The component of in the direction of does not change with time
c)
The magnitude of does not change with time
d)
does not change with time
|
The torque |
|
|
a) |
|
|
b) |
The component of |
|
c) |
The magnitude of |
|
d) |
|
|
(a,b,c)
Given that
From the cross-product rule, Differentiating with respect to time, we get
Since
|
is always perpendicular to the plane containing 
and 
. By the dot product definition, 
is perpendicular to 
Next Question :
In the number series given below, one number is missing. Each series is followed by four alternatives. One of them is the right answer, Identify it.
|
2, 7, 14, 23, …….., 47 |
|||||||
|
(a) |
31 |
(b) |
28 |
(c) |
34 |
(d) |
38 |
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