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If â†’F is the force acting on a particle having position vector â†’r and â†’Ï„ be the torque of this force about the origin, then:

1. →r⋅→τ≠0 and â†’F⋅→τ=0
2. →r⋅→τ>0 and â†’F⋅→τ<0
3. →r⋅→τ=0 and â†’F⋅→τ=0
4. →r⋅→τ=0 and â†’F⋅→τ≠0
Subtopic:  Torque |
 83%
From NCERT
AIPMT - 2009
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A block A is pushed on a smooth horizontal plane by applying a horizontal force F, which causes an acceleration of g4 (g: acceleration due to gravity). The block does not topple, even though the force acts at its highest point. The normal reaction shifts forward by:
                
1. b2 2. b4
3. b8 4. b3
Subtopic:  Torque |
From NCERT
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A uniform rod of length 200 cm and mass 500 g is balanced on a wedge placed at 40 cm mark. A mass of 2 kg is suspended from the rod at 20 cm and another unknown mass m is suspended from the rod at 160 cm mark as shown in the figure. What would be the value of m such that the rod is in equilibrium?
(Take g=10 (m/s2)

                    

1. 16 kg 2. 112 kg
3. 12 kg 4.  13 kg
Subtopic:  Torque |
 57%
From NCERT
NEET - 2021
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A rod of weight w is supported by two parallel knife edges, A and B, and is in equilibrium in a horizontal position. The knives are at a distance d from each other. The centre of mass of the rod is at a distance x from A. The normal reaction on A is:
1. wxd 2. wdx
3. w(d−x)x 4. w(d−x)d
Subtopic:  Torque |
 69%
From NCERT
NEET - 2015
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A non-uniform bar of weight W is suspended at rest by two strings of negligible weight as shown in the figure. The angles made by the strings with the vertical are 36.9∘ and  53.1∘ respectively. The bar is 2 m long. The distance d of the center of gravity of the bar from its left end is:
(Take sin36.9∘=0.6 and sin53.1∘=0.8)

           
1. 69 cm
2. 72 cm
3. 79 cm
4. 65 cm

Subtopic:  Torque |
 58%
From NCERT
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A uniform ladder of mass 10 kg is placed at an angle against a frictionless vertical wall, as shown in the figure, by applying a horizontal force F at the bottom (B) of the ladder, towards the wall. (Take g=10 m/s2 )
               
The normal reaction of the ground on the ladder is:
1. 100 N 
2. 100√3 N 
3. 50 N 
4. 50√3 N 
Subtopic:  Torque |
From NCERT
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To maintain a rotor at a uniform angular speed of 200 rad/s, an engine needs to transmit a torque of 180 N-m. What is the power required by the engine?
1. 33 kW
2. 36 kW
3. 28 kW
4. 76 kW

Subtopic:  Torque |
 90%
From NCERT
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