Video Lecture

Theory For Making Notes

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Practice Questions (Level-1)

1.

For the system shown in the figure find the tension in the longer string. Take
m1 = m2 = 1 kg.

(a)2 N

(b) 6 N

(c) 10 N

(d) 20 N

Ans (b)

Comprehension Based Question (2 to  4)

A 9 kg block is held by a pulley system as shown in the figure. What force must the person exert on the following cases:

2.

To hold the block at rest.

(a)10 N

(b) 25 N

(c)35 N

(d) 45 N

Ans (d)

3.

to lower it at 2 m/s.

(a) 5 N

(b) 25 N

(c) 45 N

(d) 50 N

Ans (c)

4.

to raise it with an acceleration of 0.5 m/s2 ?

(a) 47.25 N

(b) 45.50 N

(c) 40.22 N

(d) 20.38 N

Ans (a)

Practice Questions (Level-2)

1.

The figure shows a system of three masses such that m1¹m2¹m3. Find the relation between masses such that m3 remains stationary.

(a)\frac{4}{{{{m}_{3}}}} =\frac{1}{{{{m}_{1}}}}\,-\frac{1}{{{{m}_{2}}}}

(b)\frac{4}{{{{m}_{3}}}} =\frac{1}{{{{m}_{1}}}}\,+\frac{1}{{{{m}_{2}}}}

(c)\frac{4}{{{{m}_{3}}}} =\frac{1}{{{{m}_{2}}}}\,-\frac{1}{{{{m}_{1}}}}

(d)\frac{4}{{{{m}_{3}}}} =\frac{3}{{{{m}_{3}}}}\,+\frac{2}{{{{m}_{5}}}}

Ans (b)

Comprehension Based Question (2 and 4)

Consider the situation shown in the figure. Both the pulleys and the strings are light and all the surfaces are frictionless.

2.

Find the acceleration of the mass M

(a)\frac{2}{2}g

(b)\frac{2}{5}g

(c)\frac{2}{7}g

(d)\frac{2}{3}g

Ans (d)

3.

Find the tension in the string

(a)\frac{{mg}}{3}

(b)\frac{{mg}}{5}

(c)\frac{{2mg}}{3}

(d)\frac{{mg}}{{\sqrt{3}}}

Ans (a)

4.

Calculate the force exerted by the clamp C on the pulley A as shown in the figure.

(a)\frac{{\sqrt{5}}}{3}\,mg

(b)\frac{{\sqrt{2}}}{3}\,mg

(c)\frac{{\sqrt{2}}}{5}\,mg

(d)\frac{{\sqrt{2}}}\,mg

Ans (b)