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

371974 A solid cylinder of mass ' \(m\) ' and radius ' \(r\) ' starts rolling down an inclined plane of inclination \(\theta\). If the friction is just enough to prevent slipping, the speed of its centre of mass after it has descended through a height ' \(h\) ' is given by

1 \(\sqrt{\frac{4}{3}} \mathrm{gh}\)
2 \(\sqrt{\frac{4 \mathrm{gh}}{3}}\)
3 \(\frac{3}{4} \mathrm{gh}\)
4 \(\sqrt{\frac{3 g h}{4}}\)
LAWS OF MOTION (ADDITIONAL)

371975 A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius \(8.0 \mathrm{~m}\) with minimum speed of \(5 \sqrt{5} \mathrm{~m} \cdot \mathrm{s}^{-1}\). The minimum value of coefficient of friction between the tires and the wall of the well must be - \((g=10\) \(\mathbf{m} \cdot \mathbf{s}^{-2}\) )

1 0.10
2 0.64
3 0.30
4 0.40
LAWS OF MOTION (ADDITIONAL)

371976 A block B, lying on a table, weighs ' \(W\) '. The coefficient of static friction between the block and the table is \(\mu\). Assume that the cord between \(B\) and the knot is horizontal. The maximum weight of the block \(A\) for which the system will be stationary is

1 \(\frac{W \tan \theta}{\mu}\)
2 \(\mu \mathrm{W} \tan \theta\)
3 \(\mu \mathrm{W} \sqrt{1+\tan ^{2} \theta}\)
4 \(\mu \mathrm{W} \sin \theta\)
LAWS OF MOTION (ADDITIONAL)

371977 A solid flywheel of mass \(20 \mathrm{~kg}\) and radius 120 \(\mathrm{mm}\) revolves at \(600 \mathrm{rpm}\). Find the total force that must applied by the brake so that the flywheel stop in 3 seconds. Given the coefficient of friction between the wheels and brake lining is 0.1 .

1 \(80 \pi \mathrm{N}\)
2 \(24 \pi \mathrm{N}\)
3 \(70 \pi \mathrm{N}\)
4 \(60 \pi \mathrm{N}\)
LAWS OF MOTION (ADDITIONAL)

371974 A solid cylinder of mass ' \(m\) ' and radius ' \(r\) ' starts rolling down an inclined plane of inclination \(\theta\). If the friction is just enough to prevent slipping, the speed of its centre of mass after it has descended through a height ' \(h\) ' is given by

1 \(\sqrt{\frac{4}{3}} \mathrm{gh}\)
2 \(\sqrt{\frac{4 \mathrm{gh}}{3}}\)
3 \(\frac{3}{4} \mathrm{gh}\)
4 \(\sqrt{\frac{3 g h}{4}}\)
LAWS OF MOTION (ADDITIONAL)

371975 A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius \(8.0 \mathrm{~m}\) with minimum speed of \(5 \sqrt{5} \mathrm{~m} \cdot \mathrm{s}^{-1}\). The minimum value of coefficient of friction between the tires and the wall of the well must be - \((g=10\) \(\mathbf{m} \cdot \mathbf{s}^{-2}\) )

1 0.10
2 0.64
3 0.30
4 0.40
LAWS OF MOTION (ADDITIONAL)

371976 A block B, lying on a table, weighs ' \(W\) '. The coefficient of static friction between the block and the table is \(\mu\). Assume that the cord between \(B\) and the knot is horizontal. The maximum weight of the block \(A\) for which the system will be stationary is

1 \(\frac{W \tan \theta}{\mu}\)
2 \(\mu \mathrm{W} \tan \theta\)
3 \(\mu \mathrm{W} \sqrt{1+\tan ^{2} \theta}\)
4 \(\mu \mathrm{W} \sin \theta\)
LAWS OF MOTION (ADDITIONAL)

371977 A solid flywheel of mass \(20 \mathrm{~kg}\) and radius 120 \(\mathrm{mm}\) revolves at \(600 \mathrm{rpm}\). Find the total force that must applied by the brake so that the flywheel stop in 3 seconds. Given the coefficient of friction between the wheels and brake lining is 0.1 .

1 \(80 \pi \mathrm{N}\)
2 \(24 \pi \mathrm{N}\)
3 \(70 \pi \mathrm{N}\)
4 \(60 \pi \mathrm{N}\)
LAWS OF MOTION (ADDITIONAL)

371974 A solid cylinder of mass ' \(m\) ' and radius ' \(r\) ' starts rolling down an inclined plane of inclination \(\theta\). If the friction is just enough to prevent slipping, the speed of its centre of mass after it has descended through a height ' \(h\) ' is given by

1 \(\sqrt{\frac{4}{3}} \mathrm{gh}\)
2 \(\sqrt{\frac{4 \mathrm{gh}}{3}}\)
3 \(\frac{3}{4} \mathrm{gh}\)
4 \(\sqrt{\frac{3 g h}{4}}\)
LAWS OF MOTION (ADDITIONAL)

371975 A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius \(8.0 \mathrm{~m}\) with minimum speed of \(5 \sqrt{5} \mathrm{~m} \cdot \mathrm{s}^{-1}\). The minimum value of coefficient of friction between the tires and the wall of the well must be - \((g=10\) \(\mathbf{m} \cdot \mathbf{s}^{-2}\) )

1 0.10
2 0.64
3 0.30
4 0.40
LAWS OF MOTION (ADDITIONAL)

371976 A block B, lying on a table, weighs ' \(W\) '. The coefficient of static friction between the block and the table is \(\mu\). Assume that the cord between \(B\) and the knot is horizontal. The maximum weight of the block \(A\) for which the system will be stationary is

1 \(\frac{W \tan \theta}{\mu}\)
2 \(\mu \mathrm{W} \tan \theta\)
3 \(\mu \mathrm{W} \sqrt{1+\tan ^{2} \theta}\)
4 \(\mu \mathrm{W} \sin \theta\)
LAWS OF MOTION (ADDITIONAL)

371977 A solid flywheel of mass \(20 \mathrm{~kg}\) and radius 120 \(\mathrm{mm}\) revolves at \(600 \mathrm{rpm}\). Find the total force that must applied by the brake so that the flywheel stop in 3 seconds. Given the coefficient of friction between the wheels and brake lining is 0.1 .

1 \(80 \pi \mathrm{N}\)
2 \(24 \pi \mathrm{N}\)
3 \(70 \pi \mathrm{N}\)
4 \(60 \pi \mathrm{N}\)
LAWS OF MOTION (ADDITIONAL)

371974 A solid cylinder of mass ' \(m\) ' and radius ' \(r\) ' starts rolling down an inclined plane of inclination \(\theta\). If the friction is just enough to prevent slipping, the speed of its centre of mass after it has descended through a height ' \(h\) ' is given by

1 \(\sqrt{\frac{4}{3}} \mathrm{gh}\)
2 \(\sqrt{\frac{4 \mathrm{gh}}{3}}\)
3 \(\frac{3}{4} \mathrm{gh}\)
4 \(\sqrt{\frac{3 g h}{4}}\)
LAWS OF MOTION (ADDITIONAL)

371975 A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius \(8.0 \mathrm{~m}\) with minimum speed of \(5 \sqrt{5} \mathrm{~m} \cdot \mathrm{s}^{-1}\). The minimum value of coefficient of friction between the tires and the wall of the well must be - \((g=10\) \(\mathbf{m} \cdot \mathbf{s}^{-2}\) )

1 0.10
2 0.64
3 0.30
4 0.40
LAWS OF MOTION (ADDITIONAL)

371976 A block B, lying on a table, weighs ' \(W\) '. The coefficient of static friction between the block and the table is \(\mu\). Assume that the cord between \(B\) and the knot is horizontal. The maximum weight of the block \(A\) for which the system will be stationary is

1 \(\frac{W \tan \theta}{\mu}\)
2 \(\mu \mathrm{W} \tan \theta\)
3 \(\mu \mathrm{W} \sqrt{1+\tan ^{2} \theta}\)
4 \(\mu \mathrm{W} \sin \theta\)
LAWS OF MOTION (ADDITIONAL)

371977 A solid flywheel of mass \(20 \mathrm{~kg}\) and radius 120 \(\mathrm{mm}\) revolves at \(600 \mathrm{rpm}\). Find the total force that must applied by the brake so that the flywheel stop in 3 seconds. Given the coefficient of friction between the wheels and brake lining is 0.1 .

1 \(80 \pi \mathrm{N}\)
2 \(24 \pi \mathrm{N}\)
3 \(70 \pi \mathrm{N}\)
4 \(60 \pi \mathrm{N}\)