Newton's Law of Motion and It's Application
LAWS OF MOTION (ADDITIONAL)

371735 A lift is tied with thick iron ropes having mass ' \(M\) '. The maximum acceleration of the lift is ' \(a\) ' \(\mathrm{m} / \mathrm{s}^{2}\) and maximum safe stress is ' \(\mathrm{S}\) ' \(\mathrm{N} / \mathrm{m}^{2}\). The minimum diameter of the rope is ( \(g\) = acceleration due to gravity)

1 \(\left[\frac{2 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
2 \(\left[\frac{2 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
3 \(\left[\frac{4 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
4 \(\left[\frac{4 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
LAWS OF MOTION (ADDITIONAL)

371736 A mass of \(1 \mathrm{~kg}\) is suspended by a string. It is first lifted up with an acceleration of \(4.9 \mathrm{~m} / \mathrm{s}^{2}\) and then lowered down with same acceleration. The ratio of tensions in the string in the two cases, respectively is \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\)

1 \(1: 3\)
2 \(2: 1\)
3 \(3: 1\)
4 \(1: 2\)
LAWS OF MOTION (ADDITIONAL)

371737 A lift of mass ' \(m\) ' is ascending with an acceleration ' \(a\) ' \((a \lt g)\). The tension in the cable of the lift is ( \(g=\) acceleration due to gravity)

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

371738 Pick out the correct statement

1 Second law of motion is a vector equation
2 Second law of motion is applicable to a particle and not to the system of particles
3 Force is always in the direction of motion
4 If external force on a body is zero, it does not mean the acceleration is zero
5 Acceleration at an instant depends on the history of the motion of the particle
LAWS OF MOTION (ADDITIONAL)

371739 A boy is standing on a weighing machine inside a lift. When the lift goes upwards with acceleration \(\frac{\mathrm{g}}{4}\), the machine shows the reading \(50 \mathrm{~kg}\). wt. When the lift goes downward with acceleration \(\frac{g}{4}\), the reading of the machine in kg. wt. would be

1 50
2 30
3 45.5
4 62.5
5 14
LAWS OF MOTION (ADDITIONAL)

371735 A lift is tied with thick iron ropes having mass ' \(M\) '. The maximum acceleration of the lift is ' \(a\) ' \(\mathrm{m} / \mathrm{s}^{2}\) and maximum safe stress is ' \(\mathrm{S}\) ' \(\mathrm{N} / \mathrm{m}^{2}\). The minimum diameter of the rope is ( \(g\) = acceleration due to gravity)

1 \(\left[\frac{2 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
2 \(\left[\frac{2 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
3 \(\left[\frac{4 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
4 \(\left[\frac{4 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
LAWS OF MOTION (ADDITIONAL)

371736 A mass of \(1 \mathrm{~kg}\) is suspended by a string. It is first lifted up with an acceleration of \(4.9 \mathrm{~m} / \mathrm{s}^{2}\) and then lowered down with same acceleration. The ratio of tensions in the string in the two cases, respectively is \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\)

1 \(1: 3\)
2 \(2: 1\)
3 \(3: 1\)
4 \(1: 2\)
LAWS OF MOTION (ADDITIONAL)

371737 A lift of mass ' \(m\) ' is ascending with an acceleration ' \(a\) ' \((a \lt g)\). The tension in the cable of the lift is ( \(g=\) acceleration due to gravity)

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

371738 Pick out the correct statement

1 Second law of motion is a vector equation
2 Second law of motion is applicable to a particle and not to the system of particles
3 Force is always in the direction of motion
4 If external force on a body is zero, it does not mean the acceleration is zero
5 Acceleration at an instant depends on the history of the motion of the particle
LAWS OF MOTION (ADDITIONAL)

371739 A boy is standing on a weighing machine inside a lift. When the lift goes upwards with acceleration \(\frac{\mathrm{g}}{4}\), the machine shows the reading \(50 \mathrm{~kg}\). wt. When the lift goes downward with acceleration \(\frac{g}{4}\), the reading of the machine in kg. wt. would be

1 50
2 30
3 45.5
4 62.5
5 14
LAWS OF MOTION (ADDITIONAL)

371735 A lift is tied with thick iron ropes having mass ' \(M\) '. The maximum acceleration of the lift is ' \(a\) ' \(\mathrm{m} / \mathrm{s}^{2}\) and maximum safe stress is ' \(\mathrm{S}\) ' \(\mathrm{N} / \mathrm{m}^{2}\). The minimum diameter of the rope is ( \(g\) = acceleration due to gravity)

1 \(\left[\frac{2 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
2 \(\left[\frac{2 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
3 \(\left[\frac{4 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
4 \(\left[\frac{4 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
LAWS OF MOTION (ADDITIONAL)

371736 A mass of \(1 \mathrm{~kg}\) is suspended by a string. It is first lifted up with an acceleration of \(4.9 \mathrm{~m} / \mathrm{s}^{2}\) and then lowered down with same acceleration. The ratio of tensions in the string in the two cases, respectively is \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\)

1 \(1: 3\)
2 \(2: 1\)
3 \(3: 1\)
4 \(1: 2\)
LAWS OF MOTION (ADDITIONAL)

371737 A lift of mass ' \(m\) ' is ascending with an acceleration ' \(a\) ' \((a \lt g)\). The tension in the cable of the lift is ( \(g=\) acceleration due to gravity)

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

371738 Pick out the correct statement

1 Second law of motion is a vector equation
2 Second law of motion is applicable to a particle and not to the system of particles
3 Force is always in the direction of motion
4 If external force on a body is zero, it does not mean the acceleration is zero
5 Acceleration at an instant depends on the history of the motion of the particle
LAWS OF MOTION (ADDITIONAL)

371739 A boy is standing on a weighing machine inside a lift. When the lift goes upwards with acceleration \(\frac{\mathrm{g}}{4}\), the machine shows the reading \(50 \mathrm{~kg}\). wt. When the lift goes downward with acceleration \(\frac{g}{4}\), the reading of the machine in kg. wt. would be

1 50
2 30
3 45.5
4 62.5
5 14
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LAWS OF MOTION (ADDITIONAL)

371735 A lift is tied with thick iron ropes having mass ' \(M\) '. The maximum acceleration of the lift is ' \(a\) ' \(\mathrm{m} / \mathrm{s}^{2}\) and maximum safe stress is ' \(\mathrm{S}\) ' \(\mathrm{N} / \mathrm{m}^{2}\). The minimum diameter of the rope is ( \(g\) = acceleration due to gravity)

1 \(\left[\frac{2 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
2 \(\left[\frac{2 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
3 \(\left[\frac{4 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
4 \(\left[\frac{4 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
LAWS OF MOTION (ADDITIONAL)

371736 A mass of \(1 \mathrm{~kg}\) is suspended by a string. It is first lifted up with an acceleration of \(4.9 \mathrm{~m} / \mathrm{s}^{2}\) and then lowered down with same acceleration. The ratio of tensions in the string in the two cases, respectively is \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\)

1 \(1: 3\)
2 \(2: 1\)
3 \(3: 1\)
4 \(1: 2\)
LAWS OF MOTION (ADDITIONAL)

371737 A lift of mass ' \(m\) ' is ascending with an acceleration ' \(a\) ' \((a \lt g)\). The tension in the cable of the lift is ( \(g=\) acceleration due to gravity)

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

371738 Pick out the correct statement

1 Second law of motion is a vector equation
2 Second law of motion is applicable to a particle and not to the system of particles
3 Force is always in the direction of motion
4 If external force on a body is zero, it does not mean the acceleration is zero
5 Acceleration at an instant depends on the history of the motion of the particle
LAWS OF MOTION (ADDITIONAL)

371739 A boy is standing on a weighing machine inside a lift. When the lift goes upwards with acceleration \(\frac{\mathrm{g}}{4}\), the machine shows the reading \(50 \mathrm{~kg}\). wt. When the lift goes downward with acceleration \(\frac{g}{4}\), the reading of the machine in kg. wt. would be

1 50
2 30
3 45.5
4 62.5
5 14
LAWS OF MOTION (ADDITIONAL)

371735 A lift is tied with thick iron ropes having mass ' \(M\) '. The maximum acceleration of the lift is ' \(a\) ' \(\mathrm{m} / \mathrm{s}^{2}\) and maximum safe stress is ' \(\mathrm{S}\) ' \(\mathrm{N} / \mathrm{m}^{2}\). The minimum diameter of the rope is ( \(g\) = acceleration due to gravity)

1 \(\left[\frac{2 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
2 \(\left[\frac{2 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
3 \(\left[\frac{4 \mathrm{M}(\mathrm{g}+\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
4 \(\left[\frac{4 \mathrm{M}(\mathrm{g}-\mathrm{a})}{\pi \mathrm{S}}\right]^{\frac{1}{2}}\)
LAWS OF MOTION (ADDITIONAL)

371736 A mass of \(1 \mathrm{~kg}\) is suspended by a string. It is first lifted up with an acceleration of \(4.9 \mathrm{~m} / \mathrm{s}^{2}\) and then lowered down with same acceleration. The ratio of tensions in the string in the two cases, respectively is \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\)

1 \(1: 3\)
2 \(2: 1\)
3 \(3: 1\)
4 \(1: 2\)
LAWS OF MOTION (ADDITIONAL)

371737 A lift of mass ' \(m\) ' is ascending with an acceleration ' \(a\) ' \((a \lt g)\). The tension in the cable of the lift is ( \(g=\) acceleration due to gravity)

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

371738 Pick out the correct statement

1 Second law of motion is a vector equation
2 Second law of motion is applicable to a particle and not to the system of particles
3 Force is always in the direction of motion
4 If external force on a body is zero, it does not mean the acceleration is zero
5 Acceleration at an instant depends on the history of the motion of the particle
LAWS OF MOTION (ADDITIONAL)

371739 A boy is standing on a weighing machine inside a lift. When the lift goes upwards with acceleration \(\frac{\mathrm{g}}{4}\), the machine shows the reading \(50 \mathrm{~kg}\). wt. When the lift goes downward with acceleration \(\frac{g}{4}\), the reading of the machine in kg. wt. would be

1 50
2 30
3 45.5
4 62.5
5 14