A ladder rests against a smooth vertical wall as shown in the figure. The floor is also smooth. The mass of the ladder is 75 kg. If upper-end A is moving with velocity v vertically downward, then the horizontal velocity of lower end B is :

                                   

1.  v

2.  34v

3.  43v

4.  35v

Subtopic:  String Constraint |
 68%
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Which of the following sets of concurrent forces may be in equilibrium?

(1) F1 = 2 N, F2 = 5 N, F3 = 9 N

(2) F1 = 3 N, F2 = 6 N, F3 = 8 N

(3) F1 = 4 N, F2 = 6 N, F3 = 12 N

(4) F1 = 5 N, F2 = 10 N, F3 = 4 N

Subtopic:  Newton's Laws |
 71%
From NCERT
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Two blocks A and B are connected by a light string as shown in the figure. The force exerted by the string on the block B is:

                         

1. 20 N

2. 15 N

3. 12 N

4. 8 N

Subtopic:  Application of Laws |
 73%
From NCERT
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A rod of mass m length l is moving between perpendicular smooth walls as shown. When the rod is at an angle \(\theta\) with horizontal its end \(A\) is moving right with speed \(v\). The speed of end \(B\) is:

               
1. \(v\cot \theta\)
2. \(v\tan \theta\)
3. \(v\cos \theta\)
4. \(v\sin \theta\)

Subtopic:  String Constraint |
 60%
From NCERT
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The figure shows a rod of length 5 m. Its ends, A and B, are restrained to moving in horizontal and vertical guides. When the end A is 3 m above O, it moves at 4 m/s. The velocity of end B at that instant is:
         

1. 2 m/s

2. 3 m/s

3. 4 m/s

4. 0.20 m/s

Subtopic:  String Constraint |
 67%
From NCERT
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A rod supported on the wall starts slipping down. If the speed vA of upper-end A is 5 m/s, then the speed vB with which end B will move to the left, as shown in the figure, is

                           

1.  5 m/s

2.  10 m/s

3.  53 m/s

4.  53 m/s

Subtopic:  String Constraint |
 70%
From NCERT
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If the block is being pulled by the rope moving at speed v as shown, then the horizontal velocity of the block is:

                           

1.  v

2.  vcosθ

3.  vcos θ

4.  vsin θ

Subtopic:  String Constraint |
 67%
From NCERT
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In the given figure, spring balance is massless, so the reading of spring balance will be:
                     

1. 2 kg 2. 3.5 kg
3. 2.9 kg 4. 3.1 kg
Subtopic:  Application of Laws |
 72%
From NCERT
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The strings and pulleys shown in the figure are massless. The reading shown by the light spring balance S is:

        

1. 2.4 kg 2. 5 kg
3. 2.5 kg 4. 3 kg
Subtopic:  Application of Laws |
 58%
From NCERT
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In the figure shown the horizontal surface is smooth and the strings are inextensible and the massless pulleys are light. If the acceleration of block \(1\) kg is a, then acceleration of \(3\) kg is:

 
1. zero
2. \(2a\)
3. \(\frac{a}{2}\)
4. \(\frac{a}{4}\)

Subtopic:  String Constraint |
 61%
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