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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

State conservation of angular momentum.

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प्रश्न

State conservation of angular momentum.

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उत्तर

The law of conservation of angular momentum states that when no external torque acts on the body the net angular momentum of a rotating rigid body remains constant.

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पाठ 5: Motion of System of Particles and Rigid Bodies - Evaluation [पृष्ठ २६२]

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सामाचीर कलवी Physics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 5 Motion of System of Particles and Rigid Bodies
Evaluation | Q II. 14. | पृष्ठ २६२

संबंधित प्रश्‍न

A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad s–1. The radius of the cylinder is 0.25 m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of the angular momentum of the cylinder about its axis?


If the resultant torque of all the forces acting on a body is zero about a point, is it necessary that it will be zero about any other point?


When a force of 6⋅0 N is exerted at 30° to a wrench at a distance of 8 cm from the nut it is just able to loosen the nut. What force F would be sufficient to loosen it if it acts perpendicularly to the wrench at 16 cm from the nut?


Calculate the total torque acting on the body shown in the following figure about the point O.


A 6⋅5 m long ladder rests against a vertical wall reaching a height of 6⋅0 m. A 60 kg man stands half way up the ladder.

  1. Find the torque of the force exerted by the man on the ladder about the upper end of the ladder.
  2. Assuming the weight of the ladder to be negligible as compared to the man and assuming the wall to be smooth, find the force exerted by the ground on the ladder.

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?


A particle of mass m is moving in yz-plane with a uniform velocity v with its trajectory running parallel to + ve y-axis and intersecting z-axis at z = a (Figure). The change in its angular momentum about the origin as it bounces elastically from a wall at y = constant is ______.


A uniform cube of mass m and side a is placed on a frictionless horizontal surface. A vertical force F is applied to the edge as shown in figure. Match the following (most appropriate choice):

(a) mg/4 < F < mg/2 (i) Cube will move up.
(b) F > mg/2 (ii) Cube will not exhibit motion.
(c) F > mg (iii) Cube will begin to rotate and slip at A.
(d) F = mg/4 (iv) Normal reaction effectively at a/3 from A, no motion.

Two discs of moments of inertia I1 and I2 about their respective axes (normal to the disc and passing through the centre), and rotating with angular speed ω2 and ω2 are brought into contact face to face with their axes of rotation coincident.

  1. Does the law of conservation of angular momentum apply to the situation? why?
  2. Find the angular speed of the two-disc system.
  3. Calculate the loss in kinetic energy of the system in the process.
  4. Account for this loss.

The magnitude of the torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5 m, the angle between the force and the position vector is (in radians) ______.


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