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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

Consider the following statements regarding the rotation of a rigid body about a fixed axis: (A) Every particle of the body moves in a circle. (B) The plane of the circle for each particle is perpendicular to the fixed axis. (C) The centres of the circles described by all particles lie on the fixed axis. (D) Particles at different perpendicular distances from the axis have the same radius of circular path. Choose the correct answer from the options given below:

  1. (A), (B) and (C) only
  2. (A) and (D) only
  3. (B) and (D) only
  4. (A), (B), (C) and (D)

Correct answer · Option 1

(A), (B) and (C) only

Explanation

Statements (A), (B), and (C) are correct. (D) is incorrect because the radius of the circle described by any particle is equal to its perpendicular distance \( r \) from the axis, which varies.

Related questions

Given below are two statements: Statement I: The kinetic energy of a body of moment of inertia \( I \) rotating with an angular velocity \( \omega \) about a fixed axis is given by \( K = \frac{1}{2} I \omega^2 \). Statement II: The moment of inertia of a rotating rigid body changes if its angular velocity is doubled. In the light of the above statements, choose the most appropriate answer from the options given below:→Given two vectors \( \mathbf{a} = 3\hat{i} - 4\hat{j} + 5\hat{k} \) and \( \mathbf{b} = -2\hat{i} + \hat{j} - 3\hat{k} \), the cross product \( \mathbf{a} \times \mathbf{b} \) is equal to:→Consider the following statements regarding rotational motion about a fixed axis: (A) Only those components of external torques that lie along the axis of rotation can cause the body to rotate about the axis. (B) Torques perpendicular to the fixed axis are balanced by the constraint forces exerted by the hinges/supports. (C) Forces parallel to the axis of rotation produce non-zero torque about that axis. (D) The rate of work done by an external torque \( \tau \) rotating a body with angular speed \( \omega \) is given by \( P = \tau \omega \). How many of the above statements are correct?→In an L-shaped uniform lamina formed by three identical squares of side length \( b = 2\text{ m} \) as oriented in Fig. 6.11 (with bottom-left square at origin having vertices from \( (0,0) \) to \( (2,2) \)), the coordinate of the centre of mass is:→
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