Friction, and Inclined Plane Friction Motion
LAWS OF MOTION (ADDITIONAL)

372120 Consider, a car moving along a straight horizontal road with a speed of \(72 \mathrm{~km} / \mathrm{h}\). If the coefficient of static friction between the tyres and the road is 0.5 , the shortest distance in which the car can be stopped is (Take \(\mathrm{g}=\) \(10 \mathrm{~m} / \mathbf{s}^{2}\) )

1 \(30 \mathrm{~m}\)
2 \(40 \mathrm{~m}\)
3 \(72 \mathrm{~m}\)
4 \(20 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

372121 Starting from rest, a body slides down a \(45^{\circ}\) inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is

1 0.80
2 0.75
3 \(0.25 \mathrm{~s}\)
4 0.33
LAWS OF MOTION (ADDITIONAL)

372122 A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches \(30^{\circ}\), the box starts to slip and slides \(4 \mathrm{~m}\) down the plank in \(4 s\). The coefficients of static and kinetic friction between the box and the plank will be, respectively

1 0.6 and 0.6
2 0.6 and 0.5
3 0.5 and 0.6
4 0.4 and 0.3
LAWS OF MOTION (ADDITIONAL)

372123 A system consists of three masses \(m_{1}, m_{2}\) and \(m_{3}\) connected by a string passing over a pulley \(P\). The mass \(m_{1}\) hangs freely and \(m_{2}\) and \(m_{3}\) are on a rough horizontal table (the coefficient of friction \(=\mu\) ). The pulley is frictionless and of negligible mass. The downward acceleration of mass \(m_{1}\) is (Assume, \(m_{1}=m_{2}=m_{3}=m\) )

1 \(\frac{\mathrm{g}(1-\mathrm{g} \mu)}{9}\)
2 \(\frac{2 g \mu}{3}\)
3 \(\frac{\mathrm{g}(1-2 \mu)}{3}\)
4 \(\frac{\mathrm{g}(1-2 \mu)}{2}\)
LAWS OF MOTION (ADDITIONAL)

372120 Consider, a car moving along a straight horizontal road with a speed of \(72 \mathrm{~km} / \mathrm{h}\). If the coefficient of static friction between the tyres and the road is 0.5 , the shortest distance in which the car can be stopped is (Take \(\mathrm{g}=\) \(10 \mathrm{~m} / \mathbf{s}^{2}\) )

1 \(30 \mathrm{~m}\)
2 \(40 \mathrm{~m}\)
3 \(72 \mathrm{~m}\)
4 \(20 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

372121 Starting from rest, a body slides down a \(45^{\circ}\) inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is

1 0.80
2 0.75
3 \(0.25 \mathrm{~s}\)
4 0.33
LAWS OF MOTION (ADDITIONAL)

372122 A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches \(30^{\circ}\), the box starts to slip and slides \(4 \mathrm{~m}\) down the plank in \(4 s\). The coefficients of static and kinetic friction between the box and the plank will be, respectively

1 0.6 and 0.6
2 0.6 and 0.5
3 0.5 and 0.6
4 0.4 and 0.3
LAWS OF MOTION (ADDITIONAL)

372123 A system consists of three masses \(m_{1}, m_{2}\) and \(m_{3}\) connected by a string passing over a pulley \(P\). The mass \(m_{1}\) hangs freely and \(m_{2}\) and \(m_{3}\) are on a rough horizontal table (the coefficient of friction \(=\mu\) ). The pulley is frictionless and of negligible mass. The downward acceleration of mass \(m_{1}\) is (Assume, \(m_{1}=m_{2}=m_{3}=m\) )

1 \(\frac{\mathrm{g}(1-\mathrm{g} \mu)}{9}\)
2 \(\frac{2 g \mu}{3}\)
3 \(\frac{\mathrm{g}(1-2 \mu)}{3}\)
4 \(\frac{\mathrm{g}(1-2 \mu)}{2}\)
LAWS OF MOTION (ADDITIONAL)

372120 Consider, a car moving along a straight horizontal road with a speed of \(72 \mathrm{~km} / \mathrm{h}\). If the coefficient of static friction between the tyres and the road is 0.5 , the shortest distance in which the car can be stopped is (Take \(\mathrm{g}=\) \(10 \mathrm{~m} / \mathbf{s}^{2}\) )

1 \(30 \mathrm{~m}\)
2 \(40 \mathrm{~m}\)
3 \(72 \mathrm{~m}\)
4 \(20 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

372121 Starting from rest, a body slides down a \(45^{\circ}\) inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is

1 0.80
2 0.75
3 \(0.25 \mathrm{~s}\)
4 0.33
LAWS OF MOTION (ADDITIONAL)

372122 A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches \(30^{\circ}\), the box starts to slip and slides \(4 \mathrm{~m}\) down the plank in \(4 s\). The coefficients of static and kinetic friction between the box and the plank will be, respectively

1 0.6 and 0.6
2 0.6 and 0.5
3 0.5 and 0.6
4 0.4 and 0.3
LAWS OF MOTION (ADDITIONAL)

372123 A system consists of three masses \(m_{1}, m_{2}\) and \(m_{3}\) connected by a string passing over a pulley \(P\). The mass \(m_{1}\) hangs freely and \(m_{2}\) and \(m_{3}\) are on a rough horizontal table (the coefficient of friction \(=\mu\) ). The pulley is frictionless and of negligible mass. The downward acceleration of mass \(m_{1}\) is (Assume, \(m_{1}=m_{2}=m_{3}=m\) )

1 \(\frac{\mathrm{g}(1-\mathrm{g} \mu)}{9}\)
2 \(\frac{2 g \mu}{3}\)
3 \(\frac{\mathrm{g}(1-2 \mu)}{3}\)
4 \(\frac{\mathrm{g}(1-2 \mu)}{2}\)
LAWS OF MOTION (ADDITIONAL)

372120 Consider, a car moving along a straight horizontal road with a speed of \(72 \mathrm{~km} / \mathrm{h}\). If the coefficient of static friction between the tyres and the road is 0.5 , the shortest distance in which the car can be stopped is (Take \(\mathrm{g}=\) \(10 \mathrm{~m} / \mathbf{s}^{2}\) )

1 \(30 \mathrm{~m}\)
2 \(40 \mathrm{~m}\)
3 \(72 \mathrm{~m}\)
4 \(20 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

372121 Starting from rest, a body slides down a \(45^{\circ}\) inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is

1 0.80
2 0.75
3 \(0.25 \mathrm{~s}\)
4 0.33
LAWS OF MOTION (ADDITIONAL)

372122 A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches \(30^{\circ}\), the box starts to slip and slides \(4 \mathrm{~m}\) down the plank in \(4 s\). The coefficients of static and kinetic friction between the box and the plank will be, respectively

1 0.6 and 0.6
2 0.6 and 0.5
3 0.5 and 0.6
4 0.4 and 0.3
LAWS OF MOTION (ADDITIONAL)

372123 A system consists of three masses \(m_{1}, m_{2}\) and \(m_{3}\) connected by a string passing over a pulley \(P\). The mass \(m_{1}\) hangs freely and \(m_{2}\) and \(m_{3}\) are on a rough horizontal table (the coefficient of friction \(=\mu\) ). The pulley is frictionless and of negligible mass. The downward acceleration of mass \(m_{1}\) is (Assume, \(m_{1}=m_{2}=m_{3}=m\) )

1 \(\frac{\mathrm{g}(1-\mathrm{g} \mu)}{9}\)
2 \(\frac{2 g \mu}{3}\)
3 \(\frac{\mathrm{g}(1-2 \mu)}{3}\)
4 \(\frac{\mathrm{g}(1-2 \mu)}{2}\)