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A : For a body to be in rotational equil...

A : For a body to be in rotational equilibrium the net torque acting on the body about any point is zero.
R : For net torque to be zero, net force should also be zero.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion,

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion,

C

If Assertion is true statement but Reason is false,

D

If both Assertion and Reason are false statements,

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion and reason question, we will analyze both statements step by step. ### Step 1: Analyze the Assertion (A) The assertion states: "For a body to be in rotational equilibrium, the net torque acting on the body about any point is zero." - **Explanation**: Rotational equilibrium means that the body is not experiencing any angular acceleration. According to the principles of rotational dynamics, for a body to be in rotational equilibrium, the sum of all torques acting on it must equal zero. This is true regardless of the point about which the torques are calculated. Therefore, the assertion is **true**. ### Step 2: Analyze the Reason (R) The reason states: "For net torque to be zero, net force should also be zero." - **Explanation**: The reason suggests a direct relationship between net torque and net force. However, while it is true that for a body to be in translational equilibrium, the net force must be zero, this does not necessarily apply to rotational equilibrium. A body can have a net force acting on it while still having a net torque of zero, depending on the point about which the torque is calculated. For example, if a force is applied at the center of mass, it can create a net force but no torque. Therefore, the reason is **false**. ### Conclusion - The assertion is **true**. - The reason is **false**. Thus, the correct answer is that the assertion is true and the reason is false. ### Final Answer The correct option is **C**: Assertion is true, Reason is false. ---
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Knowledge Check

  • The torque acting on a body is the rotational, analogue of

    A
    mass of the body
    B
    linear kinetic energy of the body
    C
    linear velocity of the body
    D
    force in linear motion
  • Total angular momentum of a rotating body remains constant, if the net torque acting on the body is

    A
    zero
    B
    maximum
    C
    minimum
    D
    unity
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