Question:
A door of $1.6\, m$ wide requires a force of $1 \,N$ to be applied at the free end to open or close it. The force that is required at a point $0.4\, m$ distant from the hinges for opening or closing the door is
A door of $1.6\, m$ wide requires a force of $1 \,N$ to be applied at the free end to open or close it. The force that is required at a point $0.4\, m$ distant from the hinges for opening or closing the door is
Updated On: Apr 18, 2024
- 3.6 N
- 2.4 N
- 4 N
- 1.2 N
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The Correct Option is C
Solution and Explanation
Here, torque $\tau=1.6 \times 1=1.6\, N - m$
So, when $d=0.4\, m$,
$F=\frac{\tau}{d}=\frac{1.6}{0.4}=4 \,N$
So, when $d=0.4\, m$,
$F=\frac{\tau}{d}=\frac{1.6}{0.4}=4 \,N$
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Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
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