OBJECTS SUSPENDED BY STRINGS \& APPARENT WEIGHT
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Laws of Motion

270242 The blockis placed on a frictionless surface in gravity free space. A heavy string of a mass \(m\) is connected and force \(F\) is applied on the string, then the tension at the middle of rope is

1
2 \(\frac{\square \frac{M}{2}+m \boxminus \cdot F}{m+M}\)
3 zero
4 \(\frac{M . F}{m+M}\)
Laws of Motion

270243 A ball is suspended by a thread from the ceiling of atram car. The brakes are applied and the speed of the car changes uniformly from 36 \(\mathbf{k m h}^{-1}\) to zero in \(5 \mathrm{~s}\). The angle by which the ball deviates from the vertical is \(\left(\mathrm{g}=\mathbf{1 0} \mathbf{~ m s}^{-2}\right)\)

1 \(\tan ^{-1} \theta-\frac{1}{3} \theta\)
2 \(\sin ^{-1} \square^{1}-\frac{1}{5} \theta\)
3 \(\tan ^{-1} \square^{1} \frac{1}{5} \theta\)
4 \(\cot ^{-1} \square^{1}-\frac{1}{3} \theta\)
Laws of Motion

270244 A block is kept on a frictionless inclined surface with angle of inclination\(\alpha\). The incline is given an acceleration ' \(a\) ' to keep the block stationary. Then ' \(a\) ' is equal to

1 \(\frac{g}{\tan \alpha}\)
2 \(g \operatorname{cosec} \alpha\)
3 \(g\)
4 \(g \tan \alpha\)
Laws of Motion

270245 A man sits on a chair supported by a rope passing over a frictionless fixed pulley. The man who weighs\(1,000 \mathrm{~N}\) exerts a force of 450 \(\mathrm{N}\) on the chair downwards while pulling the rope on the other side. If the chair weighs \(250 \mathrm{~N}\), then the acceleration of the chair is

1 \(0.45 \mathrm{~m} / \mathrm{s}^{2}\)
2 0
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(9 / 25 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

270242 The blockis placed on a frictionless surface in gravity free space. A heavy string of a mass \(m\) is connected and force \(F\) is applied on the string, then the tension at the middle of rope is

1
2 \(\frac{\square \frac{M}{2}+m \boxminus \cdot F}{m+M}\)
3 zero
4 \(\frac{M . F}{m+M}\)
Laws of Motion

270243 A ball is suspended by a thread from the ceiling of atram car. The brakes are applied and the speed of the car changes uniformly from 36 \(\mathbf{k m h}^{-1}\) to zero in \(5 \mathrm{~s}\). The angle by which the ball deviates from the vertical is \(\left(\mathrm{g}=\mathbf{1 0} \mathbf{~ m s}^{-2}\right)\)

1 \(\tan ^{-1} \theta-\frac{1}{3} \theta\)
2 \(\sin ^{-1} \square^{1}-\frac{1}{5} \theta\)
3 \(\tan ^{-1} \square^{1} \frac{1}{5} \theta\)
4 \(\cot ^{-1} \square^{1}-\frac{1}{3} \theta\)
Laws of Motion

270244 A block is kept on a frictionless inclined surface with angle of inclination\(\alpha\). The incline is given an acceleration ' \(a\) ' to keep the block stationary. Then ' \(a\) ' is equal to

1 \(\frac{g}{\tan \alpha}\)
2 \(g \operatorname{cosec} \alpha\)
3 \(g\)
4 \(g \tan \alpha\)
Laws of Motion

270245 A man sits on a chair supported by a rope passing over a frictionless fixed pulley. The man who weighs\(1,000 \mathrm{~N}\) exerts a force of 450 \(\mathrm{N}\) on the chair downwards while pulling the rope on the other side. If the chair weighs \(250 \mathrm{~N}\), then the acceleration of the chair is

1 \(0.45 \mathrm{~m} / \mathrm{s}^{2}\)
2 0
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(9 / 25 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

270242 The blockis placed on a frictionless surface in gravity free space. A heavy string of a mass \(m\) is connected and force \(F\) is applied on the string, then the tension at the middle of rope is

1
2 \(\frac{\square \frac{M}{2}+m \boxminus \cdot F}{m+M}\)
3 zero
4 \(\frac{M . F}{m+M}\)
Laws of Motion

270243 A ball is suspended by a thread from the ceiling of atram car. The brakes are applied and the speed of the car changes uniformly from 36 \(\mathbf{k m h}^{-1}\) to zero in \(5 \mathrm{~s}\). The angle by which the ball deviates from the vertical is \(\left(\mathrm{g}=\mathbf{1 0} \mathbf{~ m s}^{-2}\right)\)

1 \(\tan ^{-1} \theta-\frac{1}{3} \theta\)
2 \(\sin ^{-1} \square^{1}-\frac{1}{5} \theta\)
3 \(\tan ^{-1} \square^{1} \frac{1}{5} \theta\)
4 \(\cot ^{-1} \square^{1}-\frac{1}{3} \theta\)
Laws of Motion

270244 A block is kept on a frictionless inclined surface with angle of inclination\(\alpha\). The incline is given an acceleration ' \(a\) ' to keep the block stationary. Then ' \(a\) ' is equal to

1 \(\frac{g}{\tan \alpha}\)
2 \(g \operatorname{cosec} \alpha\)
3 \(g\)
4 \(g \tan \alpha\)
Laws of Motion

270245 A man sits on a chair supported by a rope passing over a frictionless fixed pulley. The man who weighs\(1,000 \mathrm{~N}\) exerts a force of 450 \(\mathrm{N}\) on the chair downwards while pulling the rope on the other side. If the chair weighs \(250 \mathrm{~N}\), then the acceleration of the chair is

1 \(0.45 \mathrm{~m} / \mathrm{s}^{2}\)
2 0
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(9 / 25 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

270242 The blockis placed on a frictionless surface in gravity free space. A heavy string of a mass \(m\) is connected and force \(F\) is applied on the string, then the tension at the middle of rope is

1
2 \(\frac{\square \frac{M}{2}+m \boxminus \cdot F}{m+M}\)
3 zero
4 \(\frac{M . F}{m+M}\)
Laws of Motion

270243 A ball is suspended by a thread from the ceiling of atram car. The brakes are applied and the speed of the car changes uniformly from 36 \(\mathbf{k m h}^{-1}\) to zero in \(5 \mathrm{~s}\). The angle by which the ball deviates from the vertical is \(\left(\mathrm{g}=\mathbf{1 0} \mathbf{~ m s}^{-2}\right)\)

1 \(\tan ^{-1} \theta-\frac{1}{3} \theta\)
2 \(\sin ^{-1} \square^{1}-\frac{1}{5} \theta\)
3 \(\tan ^{-1} \square^{1} \frac{1}{5} \theta\)
4 \(\cot ^{-1} \square^{1}-\frac{1}{3} \theta\)
Laws of Motion

270244 A block is kept on a frictionless inclined surface with angle of inclination\(\alpha\). The incline is given an acceleration ' \(a\) ' to keep the block stationary. Then ' \(a\) ' is equal to

1 \(\frac{g}{\tan \alpha}\)
2 \(g \operatorname{cosec} \alpha\)
3 \(g\)
4 \(g \tan \alpha\)
Laws of Motion

270245 A man sits on a chair supported by a rope passing over a frictionless fixed pulley. The man who weighs\(1,000 \mathrm{~N}\) exerts a force of 450 \(\mathrm{N}\) on the chair downwards while pulling the rope on the other side. If the chair weighs \(250 \mathrm{~N}\), then the acceleration of the chair is

1 \(0.45 \mathrm{~m} / \mathrm{s}^{2}\)
2 0
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(9 / 25 \mathrm{~m} / \mathrm{s}^{2}\)