MOTION OF A BODY ON THE INCLINED PLANE
Laws of Motion

270339 A body is projected up along an inclined plane from the bottom with speed is\(2 v\). If it reaches the bottom of the plane with a velocity \(v\), if \(\theta\) is the angle of inclination with the horizontal and \(\mu\) be the coefficient of friction.

1 \(\frac{5}{3} \tan \theta\)
2 \(\frac{3}{5} \tan \theta\)
3 \(\frac{1}{5} \tan \theta\)
4 \(\frac{2}{5} \tan \theta\)
Laws of Motion

270340 The minimum force required to move a body up on an inclined plane is three times the minimum force required to prevent it from sliding down the plane. If the coefficient of friction between the body and the inclined plane is\(\frac{1}{2 \sqrt{3}}\), the angle of the inclined plane is

1 \(60^{\circ}\)
2 \(45^{\circ}\)
3 \(30^{\circ}\)
4 \(15^{\circ}\)
Laws of Motion

270341 Starting from rest, the time taken by a body sliding down on a rough inclined plane at\(45^{\circ}\) with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is (2008 E)

1 0.25
2 0.33
3 0.50
4 0.75
Laws of Motion

270342 A body is sliding down a rough inclined plane. The coefficient of friction between the body and the plane is0.5 . The ratio of the net force required for the body to slide down and the normal reaction on the body is \(1: 2\). Then the angle of the inclined plane is

1 \(15^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(60^{\circ}\)
Laws of Motion

270339 A body is projected up along an inclined plane from the bottom with speed is\(2 v\). If it reaches the bottom of the plane with a velocity \(v\), if \(\theta\) is the angle of inclination with the horizontal and \(\mu\) be the coefficient of friction.

1 \(\frac{5}{3} \tan \theta\)
2 \(\frac{3}{5} \tan \theta\)
3 \(\frac{1}{5} \tan \theta\)
4 \(\frac{2}{5} \tan \theta\)
Laws of Motion

270340 The minimum force required to move a body up on an inclined plane is three times the minimum force required to prevent it from sliding down the plane. If the coefficient of friction between the body and the inclined plane is\(\frac{1}{2 \sqrt{3}}\), the angle of the inclined plane is

1 \(60^{\circ}\)
2 \(45^{\circ}\)
3 \(30^{\circ}\)
4 \(15^{\circ}\)
Laws of Motion

270341 Starting from rest, the time taken by a body sliding down on a rough inclined plane at\(45^{\circ}\) with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is (2008 E)

1 0.25
2 0.33
3 0.50
4 0.75
Laws of Motion

270342 A body is sliding down a rough inclined plane. The coefficient of friction between the body and the plane is0.5 . The ratio of the net force required for the body to slide down and the normal reaction on the body is \(1: 2\). Then the angle of the inclined plane is

1 \(15^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(60^{\circ}\)
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Laws of Motion

270339 A body is projected up along an inclined plane from the bottom with speed is\(2 v\). If it reaches the bottom of the plane with a velocity \(v\), if \(\theta\) is the angle of inclination with the horizontal and \(\mu\) be the coefficient of friction.

1 \(\frac{5}{3} \tan \theta\)
2 \(\frac{3}{5} \tan \theta\)
3 \(\frac{1}{5} \tan \theta\)
4 \(\frac{2}{5} \tan \theta\)
Laws of Motion

270340 The minimum force required to move a body up on an inclined plane is three times the minimum force required to prevent it from sliding down the plane. If the coefficient of friction between the body and the inclined plane is\(\frac{1}{2 \sqrt{3}}\), the angle of the inclined plane is

1 \(60^{\circ}\)
2 \(45^{\circ}\)
3 \(30^{\circ}\)
4 \(15^{\circ}\)
Laws of Motion

270341 Starting from rest, the time taken by a body sliding down on a rough inclined plane at\(45^{\circ}\) with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is (2008 E)

1 0.25
2 0.33
3 0.50
4 0.75
Laws of Motion

270342 A body is sliding down a rough inclined plane. The coefficient of friction between the body and the plane is0.5 . The ratio of the net force required for the body to slide down and the normal reaction on the body is \(1: 2\). Then the angle of the inclined plane is

1 \(15^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(60^{\circ}\)
Laws of Motion

270339 A body is projected up along an inclined plane from the bottom with speed is\(2 v\). If it reaches the bottom of the plane with a velocity \(v\), if \(\theta\) is the angle of inclination with the horizontal and \(\mu\) be the coefficient of friction.

1 \(\frac{5}{3} \tan \theta\)
2 \(\frac{3}{5} \tan \theta\)
3 \(\frac{1}{5} \tan \theta\)
4 \(\frac{2}{5} \tan \theta\)
Laws of Motion

270340 The minimum force required to move a body up on an inclined plane is three times the minimum force required to prevent it from sliding down the plane. If the coefficient of friction between the body and the inclined plane is\(\frac{1}{2 \sqrt{3}}\), the angle of the inclined plane is

1 \(60^{\circ}\)
2 \(45^{\circ}\)
3 \(30^{\circ}\)
4 \(15^{\circ}\)
Laws of Motion

270341 Starting from rest, the time taken by a body sliding down on a rough inclined plane at\(45^{\circ}\) with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is (2008 E)

1 0.25
2 0.33
3 0.50
4 0.75
Laws of Motion

270342 A body is sliding down a rough inclined plane. The coefficient of friction between the body and the plane is0.5 . The ratio of the net force required for the body to slide down and the normal reaction on the body is \(1: 2\). Then the angle of the inclined plane is

1 \(15^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(60^{\circ}\)