Rankers Physics

Torque: Practice Problem & Solution

The figure shows a horizontal block of mass M suspended by two wires A and B. The centre of mass of the block is closer to B than A. (i) Is the magnitude of the torque due to wire A is greater, less or equal to that due to B w.r.t. centre of mass ? (ii) Which wire A or B exerts more force on the block ? Torque diagram: The figure shows a horizontal block of mass
(i) greater (ii) B
(i) equal (ii) B
(i) less (ii) A
(i) greater (ii) A

Solution Explained:

To solve this problem, we apply the core principles of Torque. Understanding the underlying formula is key to arriving at the correct answer below:

As the object is in rotational equilibrium, Net torque acting on the object is zero.

so,  Torque of TA = Torque of TB

TAXA= TBXB

\[ \frac{T_{A}}{T_{B}}=\frac{X_{B}}{X_{A}} \]

\[ X_{B} < X_{A} \]

\[ T_{A} <  T_{B} \]

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