04. Friction, and Inclined Plane Friction Motion
Laws of Motion

146149 A \(4.0 \mathrm{~kg}\) bundle starts up a \(30^{\circ}\) incline with 120 \(J\) of kinetic energy. The distance upto which the bundle will slide up the incline, if the coefficient of kinetic friction between the bundle and the incline in \(\frac{1}{\sqrt{3}}\), is

1 \(6 \mathrm{~m}\)
2 \(10 \mathrm{~m}\)
3 \(3 \mathrm{~m}\)
4 \(8 \mathrm{~m}\)
Laws of Motion

146150 A brick of mass \(2 \mathrm{~kg}\) slides down an incline of height \(5 \mathrm{~m}\) and angle \(30^{\circ}\). If the coefficient of friction of the incline is \(\frac{1}{2 \sqrt{3}}\), the velocity of the block at the bottom of the incline is (Assume the acceleration due to gravity is 10 \(\mathbf{m} / \mathbf{s}^{2}\) )

1 \(5 \mathrm{~m} / \mathrm{s}\)
2 \(50 \mathrm{~m} / \mathrm{s}\)
3 \(7 \mathrm{~m} / \mathrm{s}\)
4 \(0 \mathrm{~m} / \mathrm{s}\)
5 \(10 \mathrm{~m} / \mathrm{s}\)
Laws of Motion

146152 A body of mass \(m\) is kept on a rough horizontal surface (coefficient of friction \(=\mu\) ). Horizontal force is applied on the body, but it does not move. The resultant of normal reaction and the frictional force acting on the object is given \(F\), where \(F\) is

1 \(|\mathrm{F}|=\mathrm{mg}+\mu \mathrm{mg}\)
2 \(|\mathrm{F}|=\mu \mathrm{mg}\)
3 \(|\mathrm{F}| \leq \mathrm{mg} \sqrt{1+\mu^{2}}\)
4 \(|\mathrm{F}|=\mathrm{mg}\)
Laws of Motion

146153 A block of mass \(10 \mathrm{~kg}\) is in contact against the inner wall of a hollow cylindrical drum of radius \(1 \mathrm{~m}\). The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{10}{2 \pi} \mathrm{rad} / \mathrm{s}\)
2 \(10 \mathrm{rad} / \mathrm{s}\)
3 \(10 \pi \mathrm{rad} / \mathrm{s}\)
4 \(\sqrt{10} \mathrm{rad} / \mathrm{s}\)
Laws of Motion

146149 A \(4.0 \mathrm{~kg}\) bundle starts up a \(30^{\circ}\) incline with 120 \(J\) of kinetic energy. The distance upto which the bundle will slide up the incline, if the coefficient of kinetic friction between the bundle and the incline in \(\frac{1}{\sqrt{3}}\), is

1 \(6 \mathrm{~m}\)
2 \(10 \mathrm{~m}\)
3 \(3 \mathrm{~m}\)
4 \(8 \mathrm{~m}\)
Laws of Motion

146150 A brick of mass \(2 \mathrm{~kg}\) slides down an incline of height \(5 \mathrm{~m}\) and angle \(30^{\circ}\). If the coefficient of friction of the incline is \(\frac{1}{2 \sqrt{3}}\), the velocity of the block at the bottom of the incline is (Assume the acceleration due to gravity is 10 \(\mathbf{m} / \mathbf{s}^{2}\) )

1 \(5 \mathrm{~m} / \mathrm{s}\)
2 \(50 \mathrm{~m} / \mathrm{s}\)
3 \(7 \mathrm{~m} / \mathrm{s}\)
4 \(0 \mathrm{~m} / \mathrm{s}\)
5 \(10 \mathrm{~m} / \mathrm{s}\)
Laws of Motion

146152 A body of mass \(m\) is kept on a rough horizontal surface (coefficient of friction \(=\mu\) ). Horizontal force is applied on the body, but it does not move. The resultant of normal reaction and the frictional force acting on the object is given \(F\), where \(F\) is

1 \(|\mathrm{F}|=\mathrm{mg}+\mu \mathrm{mg}\)
2 \(|\mathrm{F}|=\mu \mathrm{mg}\)
3 \(|\mathrm{F}| \leq \mathrm{mg} \sqrt{1+\mu^{2}}\)
4 \(|\mathrm{F}|=\mathrm{mg}\)
Laws of Motion

146153 A block of mass \(10 \mathrm{~kg}\) is in contact against the inner wall of a hollow cylindrical drum of radius \(1 \mathrm{~m}\). The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{10}{2 \pi} \mathrm{rad} / \mathrm{s}\)
2 \(10 \mathrm{rad} / \mathrm{s}\)
3 \(10 \pi \mathrm{rad} / \mathrm{s}\)
4 \(\sqrt{10} \mathrm{rad} / \mathrm{s}\)
Laws of Motion

146149 A \(4.0 \mathrm{~kg}\) bundle starts up a \(30^{\circ}\) incline with 120 \(J\) of kinetic energy. The distance upto which the bundle will slide up the incline, if the coefficient of kinetic friction between the bundle and the incline in \(\frac{1}{\sqrt{3}}\), is

1 \(6 \mathrm{~m}\)
2 \(10 \mathrm{~m}\)
3 \(3 \mathrm{~m}\)
4 \(8 \mathrm{~m}\)
Laws of Motion

146150 A brick of mass \(2 \mathrm{~kg}\) slides down an incline of height \(5 \mathrm{~m}\) and angle \(30^{\circ}\). If the coefficient of friction of the incline is \(\frac{1}{2 \sqrt{3}}\), the velocity of the block at the bottom of the incline is (Assume the acceleration due to gravity is 10 \(\mathbf{m} / \mathbf{s}^{2}\) )

1 \(5 \mathrm{~m} / \mathrm{s}\)
2 \(50 \mathrm{~m} / \mathrm{s}\)
3 \(7 \mathrm{~m} / \mathrm{s}\)
4 \(0 \mathrm{~m} / \mathrm{s}\)
5 \(10 \mathrm{~m} / \mathrm{s}\)
Laws of Motion

146152 A body of mass \(m\) is kept on a rough horizontal surface (coefficient of friction \(=\mu\) ). Horizontal force is applied on the body, but it does not move. The resultant of normal reaction and the frictional force acting on the object is given \(F\), where \(F\) is

1 \(|\mathrm{F}|=\mathrm{mg}+\mu \mathrm{mg}\)
2 \(|\mathrm{F}|=\mu \mathrm{mg}\)
3 \(|\mathrm{F}| \leq \mathrm{mg} \sqrt{1+\mu^{2}}\)
4 \(|\mathrm{F}|=\mathrm{mg}\)
Laws of Motion

146153 A block of mass \(10 \mathrm{~kg}\) is in contact against the inner wall of a hollow cylindrical drum of radius \(1 \mathrm{~m}\). The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{10}{2 \pi} \mathrm{rad} / \mathrm{s}\)
2 \(10 \mathrm{rad} / \mathrm{s}\)
3 \(10 \pi \mathrm{rad} / \mathrm{s}\)
4 \(\sqrt{10} \mathrm{rad} / \mathrm{s}\)
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Laws of Motion

146149 A \(4.0 \mathrm{~kg}\) bundle starts up a \(30^{\circ}\) incline with 120 \(J\) of kinetic energy. The distance upto which the bundle will slide up the incline, if the coefficient of kinetic friction between the bundle and the incline in \(\frac{1}{\sqrt{3}}\), is

1 \(6 \mathrm{~m}\)
2 \(10 \mathrm{~m}\)
3 \(3 \mathrm{~m}\)
4 \(8 \mathrm{~m}\)
Laws of Motion

146150 A brick of mass \(2 \mathrm{~kg}\) slides down an incline of height \(5 \mathrm{~m}\) and angle \(30^{\circ}\). If the coefficient of friction of the incline is \(\frac{1}{2 \sqrt{3}}\), the velocity of the block at the bottom of the incline is (Assume the acceleration due to gravity is 10 \(\mathbf{m} / \mathbf{s}^{2}\) )

1 \(5 \mathrm{~m} / \mathrm{s}\)
2 \(50 \mathrm{~m} / \mathrm{s}\)
3 \(7 \mathrm{~m} / \mathrm{s}\)
4 \(0 \mathrm{~m} / \mathrm{s}\)
5 \(10 \mathrm{~m} / \mathrm{s}\)
Laws of Motion

146152 A body of mass \(m\) is kept on a rough horizontal surface (coefficient of friction \(=\mu\) ). Horizontal force is applied on the body, but it does not move. The resultant of normal reaction and the frictional force acting on the object is given \(F\), where \(F\) is

1 \(|\mathrm{F}|=\mathrm{mg}+\mu \mathrm{mg}\)
2 \(|\mathrm{F}|=\mu \mathrm{mg}\)
3 \(|\mathrm{F}| \leq \mathrm{mg} \sqrt{1+\mu^{2}}\)
4 \(|\mathrm{F}|=\mathrm{mg}\)
Laws of Motion

146153 A block of mass \(10 \mathrm{~kg}\) is in contact against the inner wall of a hollow cylindrical drum of radius \(1 \mathrm{~m}\). The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be \(\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\frac{10}{2 \pi} \mathrm{rad} / \mathrm{s}\)
2 \(10 \mathrm{rad} / \mathrm{s}\)
3 \(10 \pi \mathrm{rad} / \mathrm{s}\)
4 \(\sqrt{10} \mathrm{rad} / \mathrm{s}\)