Friction
PHXI05:LAWS OF MOTION

363356 The upper half of an inclined plane of inclination \(\theta\) is perfectly smooth while the lower half rough. A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and the lower half of the plane is given by

1 \(\mu=2 \tan \theta\)
2 \(\mu=\tan \theta\)
3 \(\mu=2 /(\tan \theta)\)
4 \(\mu=1 / \tan \theta\)
PHXI05:LAWS OF MOTION

363357 A body takes time \(t\) to reach the bottom of an inclined plane of angle \(\theta\) with the horizontal. If the plane is made rough, time taken now is \(2 t\). The coefficient of friction of the rough surface is

1 \(\dfrac{3}{4} \tan \theta\)
2 \(\dfrac{2}{3} \tan \theta\)
3 \(\dfrac{1}{4} \tan \theta\)
4 \(\dfrac{1}{2} \tan \theta\)
PHXI05:LAWS OF MOTION

363358 Masses \(M_{1}, M_{2}\) and \(M_{3}\) are connected by light strings which pass over pulleys \(P_{1}\) and \(P_{2}\) as shown. The masses move such that the string between \(P_{1}\) and \(P_{2}\) is parallel to incline and the string between \(P_{2}\) and \(M_{2}\) is horizontal, \(M_{2}=M_{3}=4 {~kg}\). The coefficient of kinetic friction between masses and the surface is 0.25 . The angle of inclination of plane is \(37^{\circ}\) to the horizontal. If the mass \(M_{1}\) moves downward with uniform velocity, find the tension in the horizontal string. (Given \(g=10 {~m} / {s}^{2}\) )
supporting img

1 \(5.6\,N\)
2 \(10.5\,N\)
3 \(8.6\,N\)
4 \(12.6\,N\)
PHXI05:LAWS OF MOTION

363359 The upper half of an inclined plane of inclination \(\theta \) is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by

1 \(\mu = \frac{1}{{\tan \theta }}\)
2 \(\mu = \frac{2}{{\tan \theta }}\)
3 \(\mu = \tan \theta \)
4 \(\mu = 2\tan \theta \)
PHXI05:LAWS OF MOTION

363356 The upper half of an inclined plane of inclination \(\theta\) is perfectly smooth while the lower half rough. A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and the lower half of the plane is given by

1 \(\mu=2 \tan \theta\)
2 \(\mu=\tan \theta\)
3 \(\mu=2 /(\tan \theta)\)
4 \(\mu=1 / \tan \theta\)
PHXI05:LAWS OF MOTION

363357 A body takes time \(t\) to reach the bottom of an inclined plane of angle \(\theta\) with the horizontal. If the plane is made rough, time taken now is \(2 t\). The coefficient of friction of the rough surface is

1 \(\dfrac{3}{4} \tan \theta\)
2 \(\dfrac{2}{3} \tan \theta\)
3 \(\dfrac{1}{4} \tan \theta\)
4 \(\dfrac{1}{2} \tan \theta\)
PHXI05:LAWS OF MOTION

363358 Masses \(M_{1}, M_{2}\) and \(M_{3}\) are connected by light strings which pass over pulleys \(P_{1}\) and \(P_{2}\) as shown. The masses move such that the string between \(P_{1}\) and \(P_{2}\) is parallel to incline and the string between \(P_{2}\) and \(M_{2}\) is horizontal, \(M_{2}=M_{3}=4 {~kg}\). The coefficient of kinetic friction between masses and the surface is 0.25 . The angle of inclination of plane is \(37^{\circ}\) to the horizontal. If the mass \(M_{1}\) moves downward with uniform velocity, find the tension in the horizontal string. (Given \(g=10 {~m} / {s}^{2}\) )
supporting img

1 \(5.6\,N\)
2 \(10.5\,N\)
3 \(8.6\,N\)
4 \(12.6\,N\)
PHXI05:LAWS OF MOTION

363359 The upper half of an inclined plane of inclination \(\theta \) is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by

1 \(\mu = \frac{1}{{\tan \theta }}\)
2 \(\mu = \frac{2}{{\tan \theta }}\)
3 \(\mu = \tan \theta \)
4 \(\mu = 2\tan \theta \)
PHXI05:LAWS OF MOTION

363356 The upper half of an inclined plane of inclination \(\theta\) is perfectly smooth while the lower half rough. A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and the lower half of the plane is given by

1 \(\mu=2 \tan \theta\)
2 \(\mu=\tan \theta\)
3 \(\mu=2 /(\tan \theta)\)
4 \(\mu=1 / \tan \theta\)
PHXI05:LAWS OF MOTION

363357 A body takes time \(t\) to reach the bottom of an inclined plane of angle \(\theta\) with the horizontal. If the plane is made rough, time taken now is \(2 t\). The coefficient of friction of the rough surface is

1 \(\dfrac{3}{4} \tan \theta\)
2 \(\dfrac{2}{3} \tan \theta\)
3 \(\dfrac{1}{4} \tan \theta\)
4 \(\dfrac{1}{2} \tan \theta\)
PHXI05:LAWS OF MOTION

363358 Masses \(M_{1}, M_{2}\) and \(M_{3}\) are connected by light strings which pass over pulleys \(P_{1}\) and \(P_{2}\) as shown. The masses move such that the string between \(P_{1}\) and \(P_{2}\) is parallel to incline and the string between \(P_{2}\) and \(M_{2}\) is horizontal, \(M_{2}=M_{3}=4 {~kg}\). The coefficient of kinetic friction between masses and the surface is 0.25 . The angle of inclination of plane is \(37^{\circ}\) to the horizontal. If the mass \(M_{1}\) moves downward with uniform velocity, find the tension in the horizontal string. (Given \(g=10 {~m} / {s}^{2}\) )
supporting img

1 \(5.6\,N\)
2 \(10.5\,N\)
3 \(8.6\,N\)
4 \(12.6\,N\)
PHXI05:LAWS OF MOTION

363359 The upper half of an inclined plane of inclination \(\theta \) is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by

1 \(\mu = \frac{1}{{\tan \theta }}\)
2 \(\mu = \frac{2}{{\tan \theta }}\)
3 \(\mu = \tan \theta \)
4 \(\mu = 2\tan \theta \)
PHXI05:LAWS OF MOTION

363356 The upper half of an inclined plane of inclination \(\theta\) is perfectly smooth while the lower half rough. A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and the lower half of the plane is given by

1 \(\mu=2 \tan \theta\)
2 \(\mu=\tan \theta\)
3 \(\mu=2 /(\tan \theta)\)
4 \(\mu=1 / \tan \theta\)
PHXI05:LAWS OF MOTION

363357 A body takes time \(t\) to reach the bottom of an inclined plane of angle \(\theta\) with the horizontal. If the plane is made rough, time taken now is \(2 t\). The coefficient of friction of the rough surface is

1 \(\dfrac{3}{4} \tan \theta\)
2 \(\dfrac{2}{3} \tan \theta\)
3 \(\dfrac{1}{4} \tan \theta\)
4 \(\dfrac{1}{2} \tan \theta\)
PHXI05:LAWS OF MOTION

363358 Masses \(M_{1}, M_{2}\) and \(M_{3}\) are connected by light strings which pass over pulleys \(P_{1}\) and \(P_{2}\) as shown. The masses move such that the string between \(P_{1}\) and \(P_{2}\) is parallel to incline and the string between \(P_{2}\) and \(M_{2}\) is horizontal, \(M_{2}=M_{3}=4 {~kg}\). The coefficient of kinetic friction between masses and the surface is 0.25 . The angle of inclination of plane is \(37^{\circ}\) to the horizontal. If the mass \(M_{1}\) moves downward with uniform velocity, find the tension in the horizontal string. (Given \(g=10 {~m} / {s}^{2}\) )
supporting img

1 \(5.6\,N\)
2 \(10.5\,N\)
3 \(8.6\,N\)
4 \(12.6\,N\)
PHXI05:LAWS OF MOTION

363359 The upper half of an inclined plane of inclination \(\theta \) is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by

1 \(\mu = \frac{1}{{\tan \theta }}\)
2 \(\mu = \frac{2}{{\tan \theta }}\)
3 \(\mu = \tan \theta \)
4 \(\mu = 2\tan \theta \)