Forces in Mechanism
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LAWS OF MOTION (ADDITIONAL)

371902 Which of the following groups of forces could be in equilibrium?

1 \(3 \mathrm{~N}, 4 \mathrm{~N}, 5 \mathrm{~N}\)
2 \(4 \mathrm{~N}, 5 \mathrm{~N}, 10 \mathrm{~N}\)
3 \(30 \mathrm{~N}, 40 \mathrm{~N}, 80 \mathrm{~N}\)
4 \(1 \mathrm{~N}, 3 \mathrm{~N}, 5 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371903 Inside a horizontally moving box, an experimenter finds that when an object is placed on a smooth horizontal table and is released, it moves with an acceleration of 10 \(\mathrm{m} / \mathrm{s}^{2}\). In this box if \(1 \mathrm{~kg}\) body is suspended with a light string. The tension in the string in equilibrium position (w.r.t. experimenter) will be \(\left(\right.\) Take \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(10 \mathrm{~N}\)
2 \(10 \sqrt{2} \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 zero
LAWS OF MOTION (ADDITIONAL)

371904 A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration ' \(a\) ' directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration ' \(a\) ' vertically. The tension in the string is equal to -

1 \(m \sqrt{g^{2}+a^{2}}\)
2 \(m \sqrt{g^{2}+a^{2}}-m a\)
3 \(\mathrm{m} \sqrt{\mathrm{g}^{2}+\mathrm{a}^{2}}+\mathrm{ma}\)
4 \(\mathrm{m}(\mathrm{g}+\mathrm{a})\)
LAWS OF MOTION (ADDITIONAL)

371905 Work done in time \(t\) on a body of mass \(m\). which is accelerated from rest to speed \(v\) in time \(t_{1}\), as a function of time \(t\), is given by

1 \(\frac{1}{2} m \frac{v}{t_{1}} t^{2}\)
2 \(\mathrm{m} \frac{\mathrm{v}}{\mathrm{t}_{1}} \mathrm{t}^{2}\)
3 \(\frac{1}{2}\left(\frac{\mathrm{mv}}{\mathrm{t}_{1}}\right)^{2} \mathrm{t}^{2}\)
4 \(\frac{1}{2} \mathrm{~m} \frac{\mathrm{v}^{2}}{\mathrm{t}_{1}^{2}} \mathrm{t}^{2}\)
LAWS OF MOTION (ADDITIONAL)

371902 Which of the following groups of forces could be in equilibrium?

1 \(3 \mathrm{~N}, 4 \mathrm{~N}, 5 \mathrm{~N}\)
2 \(4 \mathrm{~N}, 5 \mathrm{~N}, 10 \mathrm{~N}\)
3 \(30 \mathrm{~N}, 40 \mathrm{~N}, 80 \mathrm{~N}\)
4 \(1 \mathrm{~N}, 3 \mathrm{~N}, 5 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371903 Inside a horizontally moving box, an experimenter finds that when an object is placed on a smooth horizontal table and is released, it moves with an acceleration of 10 \(\mathrm{m} / \mathrm{s}^{2}\). In this box if \(1 \mathrm{~kg}\) body is suspended with a light string. The tension in the string in equilibrium position (w.r.t. experimenter) will be \(\left(\right.\) Take \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(10 \mathrm{~N}\)
2 \(10 \sqrt{2} \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 zero
LAWS OF MOTION (ADDITIONAL)

371904 A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration ' \(a\) ' directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration ' \(a\) ' vertically. The tension in the string is equal to -

1 \(m \sqrt{g^{2}+a^{2}}\)
2 \(m \sqrt{g^{2}+a^{2}}-m a\)
3 \(\mathrm{m} \sqrt{\mathrm{g}^{2}+\mathrm{a}^{2}}+\mathrm{ma}\)
4 \(\mathrm{m}(\mathrm{g}+\mathrm{a})\)
LAWS OF MOTION (ADDITIONAL)

371905 Work done in time \(t\) on a body of mass \(m\). which is accelerated from rest to speed \(v\) in time \(t_{1}\), as a function of time \(t\), is given by

1 \(\frac{1}{2} m \frac{v}{t_{1}} t^{2}\)
2 \(\mathrm{m} \frac{\mathrm{v}}{\mathrm{t}_{1}} \mathrm{t}^{2}\)
3 \(\frac{1}{2}\left(\frac{\mathrm{mv}}{\mathrm{t}_{1}}\right)^{2} \mathrm{t}^{2}\)
4 \(\frac{1}{2} \mathrm{~m} \frac{\mathrm{v}^{2}}{\mathrm{t}_{1}^{2}} \mathrm{t}^{2}\)
LAWS OF MOTION (ADDITIONAL)

371902 Which of the following groups of forces could be in equilibrium?

1 \(3 \mathrm{~N}, 4 \mathrm{~N}, 5 \mathrm{~N}\)
2 \(4 \mathrm{~N}, 5 \mathrm{~N}, 10 \mathrm{~N}\)
3 \(30 \mathrm{~N}, 40 \mathrm{~N}, 80 \mathrm{~N}\)
4 \(1 \mathrm{~N}, 3 \mathrm{~N}, 5 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371903 Inside a horizontally moving box, an experimenter finds that when an object is placed on a smooth horizontal table and is released, it moves with an acceleration of 10 \(\mathrm{m} / \mathrm{s}^{2}\). In this box if \(1 \mathrm{~kg}\) body is suspended with a light string. The tension in the string in equilibrium position (w.r.t. experimenter) will be \(\left(\right.\) Take \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(10 \mathrm{~N}\)
2 \(10 \sqrt{2} \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 zero
LAWS OF MOTION (ADDITIONAL)

371904 A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration ' \(a\) ' directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration ' \(a\) ' vertically. The tension in the string is equal to -

1 \(m \sqrt{g^{2}+a^{2}}\)
2 \(m \sqrt{g^{2}+a^{2}}-m a\)
3 \(\mathrm{m} \sqrt{\mathrm{g}^{2}+\mathrm{a}^{2}}+\mathrm{ma}\)
4 \(\mathrm{m}(\mathrm{g}+\mathrm{a})\)
LAWS OF MOTION (ADDITIONAL)

371905 Work done in time \(t\) on a body of mass \(m\). which is accelerated from rest to speed \(v\) in time \(t_{1}\), as a function of time \(t\), is given by

1 \(\frac{1}{2} m \frac{v}{t_{1}} t^{2}\)
2 \(\mathrm{m} \frac{\mathrm{v}}{\mathrm{t}_{1}} \mathrm{t}^{2}\)
3 \(\frac{1}{2}\left(\frac{\mathrm{mv}}{\mathrm{t}_{1}}\right)^{2} \mathrm{t}^{2}\)
4 \(\frac{1}{2} \mathrm{~m} \frac{\mathrm{v}^{2}}{\mathrm{t}_{1}^{2}} \mathrm{t}^{2}\)
LAWS OF MOTION (ADDITIONAL)

371902 Which of the following groups of forces could be in equilibrium?

1 \(3 \mathrm{~N}, 4 \mathrm{~N}, 5 \mathrm{~N}\)
2 \(4 \mathrm{~N}, 5 \mathrm{~N}, 10 \mathrm{~N}\)
3 \(30 \mathrm{~N}, 40 \mathrm{~N}, 80 \mathrm{~N}\)
4 \(1 \mathrm{~N}, 3 \mathrm{~N}, 5 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371903 Inside a horizontally moving box, an experimenter finds that when an object is placed on a smooth horizontal table and is released, it moves with an acceleration of 10 \(\mathrm{m} / \mathrm{s}^{2}\). In this box if \(1 \mathrm{~kg}\) body is suspended with a light string. The tension in the string in equilibrium position (w.r.t. experimenter) will be \(\left(\right.\) Take \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(10 \mathrm{~N}\)
2 \(10 \sqrt{2} \mathrm{~N}\)
3 \(20 \mathrm{~N}\)
4 zero
LAWS OF MOTION (ADDITIONAL)

371904 A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration ' \(a\) ' directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration ' \(a\) ' vertically. The tension in the string is equal to -

1 \(m \sqrt{g^{2}+a^{2}}\)
2 \(m \sqrt{g^{2}+a^{2}}-m a\)
3 \(\mathrm{m} \sqrt{\mathrm{g}^{2}+\mathrm{a}^{2}}+\mathrm{ma}\)
4 \(\mathrm{m}(\mathrm{g}+\mathrm{a})\)
LAWS OF MOTION (ADDITIONAL)

371905 Work done in time \(t\) on a body of mass \(m\). which is accelerated from rest to speed \(v\) in time \(t_{1}\), as a function of time \(t\), is given by

1 \(\frac{1}{2} m \frac{v}{t_{1}} t^{2}\)
2 \(\mathrm{m} \frac{\mathrm{v}}{\mathrm{t}_{1}} \mathrm{t}^{2}\)
3 \(\frac{1}{2}\left(\frac{\mathrm{mv}}{\mathrm{t}_{1}}\right)^{2} \mathrm{t}^{2}\)
4 \(\frac{1}{2} \mathrm{~m} \frac{\mathrm{v}^{2}}{\mathrm{t}_{1}^{2}} \mathrm{t}^{2}\)