Applications of Newton’s Laws
PHXI05:LAWS OF MOTION

363087 Two blocks of masses \(m\) and 2 \(m\) are connected by a light string passing over a frictionless pulley. As shown in the figure, the mass \(m\) is placed on a smooth inclined plane of inclination \(30^\circ \) and 2 \(m\) hangs vertically. If the system is released, the blocks move with an acceleration equal to
supporting img

1 \(g/4\)
2 \(g/3\)
3 \(g/2\)
4 \(g\)
PHXI05:LAWS OF MOTION

363088 An insect of mass \(m\) crawls along the hanging thread with an acceleration \(a = \frac{g}{2}\). The reaction offered by ground on the block of mass 2 \(m\) is:
supporting img

1 2 \(mg\)
2 \(\frac{{5\,mg}}{2}\)
3 \(mg\)
4 \(\frac{{3\,mg}}{2}\)
PHXI05:LAWS OF MOTION

363089 A light string passing over a smooth light pulley connects two blocks of masses \(m_{1}\) and \(m_{2}\) (where \(m_{2}>m_{1}\) ). If the acceleration of the system is \(\dfrac{g}{\sqrt{2}}\), then the ratio of the masses \(\dfrac{m_{1}}{m_{2}}\) is

1 \(\dfrac{\sqrt{2}-1}{\sqrt{2}+1}\)
2 \(\dfrac{\sqrt{3}+1}{\sqrt{2}-1}\)
3 \(\dfrac{1+\sqrt{5}}{\sqrt{2}-1}\)
4 \(\dfrac{1+\sqrt{5}}{\sqrt{5}-1}\)
PHXI05:LAWS OF MOTION

363090 If the system shown in figure is released from rest then acceleration of 2 \(kg\) block is (take \(g = 10\,m/{s^2}\) and the pulleys are very light)
supporting img

1 \(15/7\,m/{s^2}\)
2 \(\frac{{20}}{7}m/{s^2}\)
3 \(\frac{{10}}{7}m/{s^2}\)
4 \(\frac{5}{7}m/{s^2}\)
PHXI05:LAWS OF MOTION

363087 Two blocks of masses \(m\) and 2 \(m\) are connected by a light string passing over a frictionless pulley. As shown in the figure, the mass \(m\) is placed on a smooth inclined plane of inclination \(30^\circ \) and 2 \(m\) hangs vertically. If the system is released, the blocks move with an acceleration equal to
supporting img

1 \(g/4\)
2 \(g/3\)
3 \(g/2\)
4 \(g\)
PHXI05:LAWS OF MOTION

363088 An insect of mass \(m\) crawls along the hanging thread with an acceleration \(a = \frac{g}{2}\). The reaction offered by ground on the block of mass 2 \(m\) is:
supporting img

1 2 \(mg\)
2 \(\frac{{5\,mg}}{2}\)
3 \(mg\)
4 \(\frac{{3\,mg}}{2}\)
PHXI05:LAWS OF MOTION

363089 A light string passing over a smooth light pulley connects two blocks of masses \(m_{1}\) and \(m_{2}\) (where \(m_{2}>m_{1}\) ). If the acceleration of the system is \(\dfrac{g}{\sqrt{2}}\), then the ratio of the masses \(\dfrac{m_{1}}{m_{2}}\) is

1 \(\dfrac{\sqrt{2}-1}{\sqrt{2}+1}\)
2 \(\dfrac{\sqrt{3}+1}{\sqrt{2}-1}\)
3 \(\dfrac{1+\sqrt{5}}{\sqrt{2}-1}\)
4 \(\dfrac{1+\sqrt{5}}{\sqrt{5}-1}\)
PHXI05:LAWS OF MOTION

363090 If the system shown in figure is released from rest then acceleration of 2 \(kg\) block is (take \(g = 10\,m/{s^2}\) and the pulleys are very light)
supporting img

1 \(15/7\,m/{s^2}\)
2 \(\frac{{20}}{7}m/{s^2}\)
3 \(\frac{{10}}{7}m/{s^2}\)
4 \(\frac{5}{7}m/{s^2}\)
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PHXI05:LAWS OF MOTION

363087 Two blocks of masses \(m\) and 2 \(m\) are connected by a light string passing over a frictionless pulley. As shown in the figure, the mass \(m\) is placed on a smooth inclined plane of inclination \(30^\circ \) and 2 \(m\) hangs vertically. If the system is released, the blocks move with an acceleration equal to
supporting img

1 \(g/4\)
2 \(g/3\)
3 \(g/2\)
4 \(g\)
PHXI05:LAWS OF MOTION

363088 An insect of mass \(m\) crawls along the hanging thread with an acceleration \(a = \frac{g}{2}\). The reaction offered by ground on the block of mass 2 \(m\) is:
supporting img

1 2 \(mg\)
2 \(\frac{{5\,mg}}{2}\)
3 \(mg\)
4 \(\frac{{3\,mg}}{2}\)
PHXI05:LAWS OF MOTION

363089 A light string passing over a smooth light pulley connects two blocks of masses \(m_{1}\) and \(m_{2}\) (where \(m_{2}>m_{1}\) ). If the acceleration of the system is \(\dfrac{g}{\sqrt{2}}\), then the ratio of the masses \(\dfrac{m_{1}}{m_{2}}\) is

1 \(\dfrac{\sqrt{2}-1}{\sqrt{2}+1}\)
2 \(\dfrac{\sqrt{3}+1}{\sqrt{2}-1}\)
3 \(\dfrac{1+\sqrt{5}}{\sqrt{2}-1}\)
4 \(\dfrac{1+\sqrt{5}}{\sqrt{5}-1}\)
PHXI05:LAWS OF MOTION

363090 If the system shown in figure is released from rest then acceleration of 2 \(kg\) block is (take \(g = 10\,m/{s^2}\) and the pulleys are very light)
supporting img

1 \(15/7\,m/{s^2}\)
2 \(\frac{{20}}{7}m/{s^2}\)
3 \(\frac{{10}}{7}m/{s^2}\)
4 \(\frac{5}{7}m/{s^2}\)
PHXI05:LAWS OF MOTION

363087 Two blocks of masses \(m\) and 2 \(m\) are connected by a light string passing over a frictionless pulley. As shown in the figure, the mass \(m\) is placed on a smooth inclined plane of inclination \(30^\circ \) and 2 \(m\) hangs vertically. If the system is released, the blocks move with an acceleration equal to
supporting img

1 \(g/4\)
2 \(g/3\)
3 \(g/2\)
4 \(g\)
PHXI05:LAWS OF MOTION

363088 An insect of mass \(m\) crawls along the hanging thread with an acceleration \(a = \frac{g}{2}\). The reaction offered by ground on the block of mass 2 \(m\) is:
supporting img

1 2 \(mg\)
2 \(\frac{{5\,mg}}{2}\)
3 \(mg\)
4 \(\frac{{3\,mg}}{2}\)
PHXI05:LAWS OF MOTION

363089 A light string passing over a smooth light pulley connects two blocks of masses \(m_{1}\) and \(m_{2}\) (where \(m_{2}>m_{1}\) ). If the acceleration of the system is \(\dfrac{g}{\sqrt{2}}\), then the ratio of the masses \(\dfrac{m_{1}}{m_{2}}\) is

1 \(\dfrac{\sqrt{2}-1}{\sqrt{2}+1}\)
2 \(\dfrac{\sqrt{3}+1}{\sqrt{2}-1}\)
3 \(\dfrac{1+\sqrt{5}}{\sqrt{2}-1}\)
4 \(\dfrac{1+\sqrt{5}}{\sqrt{5}-1}\)
PHXI05:LAWS OF MOTION

363090 If the system shown in figure is released from rest then acceleration of 2 \(kg\) block is (take \(g = 10\,m/{s^2}\) and the pulleys are very light)
supporting img

1 \(15/7\,m/{s^2}\)
2 \(\frac{{20}}{7}m/{s^2}\)
3 \(\frac{{10}}{7}m/{s^2}\)
4 \(\frac{5}{7}m/{s^2}\)