Angular momentum of the particle rotating with a central force is constant due to
(a) constant torque
(b) constant force
(c) constant linear momentum
(d) zero torque
(d) : Central forces passes through axis of rotation so torque is zero. If no external torque is acting on a particle, the angular momentum of a particle is constant.
Work and current are scalar quantities.
Work done is given by the dot product of force and displacement. Since the dot product of two quantities is always a scalar, work is...
No
No
Yes
No
No
Yes
Angular momentum and total energy at all points of the orbit of a comet moving in a highly elliptical orbit around the Sun are constant. Its linear speed, angular speed,...
The right answer is (b) mω02a
Explanation:
The frame of reference is rotating with a uniform angular speed ω0, so it has an acceleration towards the center and it is a non-inertial...
(a) 10 cm/s, 10 cm/s 2
Explanation:
Velocity of the particle in a circular motion is equal to ωr , so if ω is constant the velocity is proportional to the radius....
(b) There are other forces on the particle.
(d) The resultant of the other forces varies in magnitude as well as in direction.
Explanation:
Above situation is possible when resultant of external forces...
(b) remains constant
Explanation:
Since the particle moves with a constant velocity along a straight line, the distance of the line from the origin (r) remains constant. The linear momentum of the...
(c) horizontal and intersecting the axis
Explanation:
Since the body is rotating uniformly, a particle not on the axis moves in a uniform circular motion. This circle will be horizontal with its center at...
(c) remains unchanged
Explanation:
If there is no external torque, the angular momentum is conserved. It is true if the moment of inertia of the rotating part of the stool is negligible...
(b) is zero about a point on the straight line
(c) is not zero about a point away from the straight line
(d) about any given point remains constant.
Explanation:
The angular momentum of...