MOTION OF A BODY ON THE INCLINED PLANE
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Laws of Motion

270343 A body takes \(1 \frac{1}{3}\) times as much time to slide down a rough inclined plane as it takes to slide down an identical but smooth inclined plane. If the angle of inclination is \(45^{\circ}\), find the coefficient of friction.

1 \(\frac{1}{16}\)
2 \(\frac{3}{16}\)
3 \(\frac{5}{16}\)
4 \(\frac{7}{16}\)
Laws of Motion

270344 A body is sliding down an inclined plane having coefficient of friction\(1 / 3\). If the normal reaction is three times that of the resultant downward force along the inclined plane, the angle between the inclined plane and the horizontal is

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

270345 A box of mass\(4 \mathrm{~kg}\) is placed on a rough inclined plane of inclination \(60^{\circ}\). Its downward motion can be prevented by applying an upward pull is \(F\) and it can be made to slide upwards by applying a force \(3 F\). The coefficient of friction between the box and inclined plane is

1 \(\frac{2}{\sqrt{3}}\)
2 \(\frac{\sqrt{3}}{2}\)
3 \(\frac{1}{\sqrt{2}}\)
4 \(\frac{1}{2}\)
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Laws of Motion

270343 A body takes \(1 \frac{1}{3}\) times as much time to slide down a rough inclined plane as it takes to slide down an identical but smooth inclined plane. If the angle of inclination is \(45^{\circ}\), find the coefficient of friction.

1 \(\frac{1}{16}\)
2 \(\frac{3}{16}\)
3 \(\frac{5}{16}\)
4 \(\frac{7}{16}\)
Laws of Motion

270344 A body is sliding down an inclined plane having coefficient of friction\(1 / 3\). If the normal reaction is three times that of the resultant downward force along the inclined plane, the angle between the inclined plane and the horizontal is

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

270345 A box of mass\(4 \mathrm{~kg}\) is placed on a rough inclined plane of inclination \(60^{\circ}\). Its downward motion can be prevented by applying an upward pull is \(F\) and it can be made to slide upwards by applying a force \(3 F\). The coefficient of friction between the box and inclined plane is

1 \(\frac{2}{\sqrt{3}}\)
2 \(\frac{\sqrt{3}}{2}\)
3 \(\frac{1}{\sqrt{2}}\)
4 \(\frac{1}{2}\)
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Laws of Motion

270343 A body takes \(1 \frac{1}{3}\) times as much time to slide down a rough inclined plane as it takes to slide down an identical but smooth inclined plane. If the angle of inclination is \(45^{\circ}\), find the coefficient of friction.

1 \(\frac{1}{16}\)
2 \(\frac{3}{16}\)
3 \(\frac{5}{16}\)
4 \(\frac{7}{16}\)
Laws of Motion

270344 A body is sliding down an inclined plane having coefficient of friction\(1 / 3\). If the normal reaction is three times that of the resultant downward force along the inclined plane, the angle between the inclined plane and the horizontal is

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

270345 A box of mass\(4 \mathrm{~kg}\) is placed on a rough inclined plane of inclination \(60^{\circ}\). Its downward motion can be prevented by applying an upward pull is \(F\) and it can be made to slide upwards by applying a force \(3 F\). The coefficient of friction between the box and inclined plane is

1 \(\frac{2}{\sqrt{3}}\)
2 \(\frac{\sqrt{3}}{2}\)
3 \(\frac{1}{\sqrt{2}}\)
4 \(\frac{1}{2}\)
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