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

146187 The arrangement shown in the figure, masses of blocks \(A\) and \(B\) are ' \(m\) ' and ' \(2 \mathrm{~m}\) ' respectively. The string is massless and inextensible. Pully is frictionless. The coefficients of static friction between \(A\) and the wedge surface is \(\frac{2}{3}\) between \(B\) and the wedge surface is \(\frac{1}{3}\). If the blocks \(A\) and \(B\) are relased from rest, acceleration of block \(A\) is

1 \(\frac{g}{2}\)
2 zero
3 \(\frac{g}{2 \sqrt{2}}\)
4 \(\frac{\mathrm{g}}{\sqrt{2}}\)
Laws of Motion

146188 Two cars are moving on a banked circular path of radius \(8 \mathrm{~m}\) having angle of banking \(45^{\circ}\). If the coefficients of static friction between the road and the tyres of the two cars are 0.5 and 0.4 respectively, then the ratio of maximum permissible speeds of the cars to avoid slipping is

1 \(\sqrt{7}: \sqrt{5}\)
2 \(\sqrt{9}: \sqrt{7}\)
3 \(\sqrt{11}: \sqrt{7}\)
4 \(\sqrt{13}: \sqrt{11}\)
Laws of Motion

146189 A long block \(A\) of mass \(M\) is at rest on a smooth horizontal surface. A small block B of mass \(M / 2\) is placed on \(A\) at one end and projected along A with some velocity \(v\). The coefficient of friction between the block is \(\mu\). Then, the accelerations of blocks \(A\) and \(B\) before reaching a common velocity will be respectively

1 \(\frac{\mu \mathrm{g}}{2}\) (towards right), \(\frac{\mu \mathrm{g}}{2}\) (towards left)
2 \(\mu \mathrm{g}\) (towards right), \(\mu \mathrm{g}\) (towards left)
3 \(\frac{\mu \mathrm{g}}{2}\) (towards right), \(\mu \mathrm{g}\) (towards left)
4 \(\mu \mathrm{g}\) (towards right), \(\frac{\mu \mathrm{g}}{2}\) (towards left)
Laws of Motion

146190 Consider a car moving at a constant speed of \(14 \mathrm{~m} / \mathrm{s}\) around a level circular bend of radius \(45 \mathrm{~m}\). The minimum coefficient of static friction needed between the car tyres and the road so that the car goes around the bend without skidding is

1 0.44
2 1.0
3 4.4
4 0.1
Laws of Motion

146187 The arrangement shown in the figure, masses of blocks \(A\) and \(B\) are ' \(m\) ' and ' \(2 \mathrm{~m}\) ' respectively. The string is massless and inextensible. Pully is frictionless. The coefficients of static friction between \(A\) and the wedge surface is \(\frac{2}{3}\) between \(B\) and the wedge surface is \(\frac{1}{3}\). If the blocks \(A\) and \(B\) are relased from rest, acceleration of block \(A\) is

1 \(\frac{g}{2}\)
2 zero
3 \(\frac{g}{2 \sqrt{2}}\)
4 \(\frac{\mathrm{g}}{\sqrt{2}}\)
Laws of Motion

146188 Two cars are moving on a banked circular path of radius \(8 \mathrm{~m}\) having angle of banking \(45^{\circ}\). If the coefficients of static friction between the road and the tyres of the two cars are 0.5 and 0.4 respectively, then the ratio of maximum permissible speeds of the cars to avoid slipping is

1 \(\sqrt{7}: \sqrt{5}\)
2 \(\sqrt{9}: \sqrt{7}\)
3 \(\sqrt{11}: \sqrt{7}\)
4 \(\sqrt{13}: \sqrt{11}\)
Laws of Motion

146189 A long block \(A\) of mass \(M\) is at rest on a smooth horizontal surface. A small block B of mass \(M / 2\) is placed on \(A\) at one end and projected along A with some velocity \(v\). The coefficient of friction between the block is \(\mu\). Then, the accelerations of blocks \(A\) and \(B\) before reaching a common velocity will be respectively

1 \(\frac{\mu \mathrm{g}}{2}\) (towards right), \(\frac{\mu \mathrm{g}}{2}\) (towards left)
2 \(\mu \mathrm{g}\) (towards right), \(\mu \mathrm{g}\) (towards left)
3 \(\frac{\mu \mathrm{g}}{2}\) (towards right), \(\mu \mathrm{g}\) (towards left)
4 \(\mu \mathrm{g}\) (towards right), \(\frac{\mu \mathrm{g}}{2}\) (towards left)
Laws of Motion

146190 Consider a car moving at a constant speed of \(14 \mathrm{~m} / \mathrm{s}\) around a level circular bend of radius \(45 \mathrm{~m}\). The minimum coefficient of static friction needed between the car tyres and the road so that the car goes around the bend without skidding is

1 0.44
2 1.0
3 4.4
4 0.1
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Laws of Motion

146187 The arrangement shown in the figure, masses of blocks \(A\) and \(B\) are ' \(m\) ' and ' \(2 \mathrm{~m}\) ' respectively. The string is massless and inextensible. Pully is frictionless. The coefficients of static friction between \(A\) and the wedge surface is \(\frac{2}{3}\) between \(B\) and the wedge surface is \(\frac{1}{3}\). If the blocks \(A\) and \(B\) are relased from rest, acceleration of block \(A\) is

1 \(\frac{g}{2}\)
2 zero
3 \(\frac{g}{2 \sqrt{2}}\)
4 \(\frac{\mathrm{g}}{\sqrt{2}}\)
Laws of Motion

146188 Two cars are moving on a banked circular path of radius \(8 \mathrm{~m}\) having angle of banking \(45^{\circ}\). If the coefficients of static friction between the road and the tyres of the two cars are 0.5 and 0.4 respectively, then the ratio of maximum permissible speeds of the cars to avoid slipping is

1 \(\sqrt{7}: \sqrt{5}\)
2 \(\sqrt{9}: \sqrt{7}\)
3 \(\sqrt{11}: \sqrt{7}\)
4 \(\sqrt{13}: \sqrt{11}\)
Laws of Motion

146189 A long block \(A\) of mass \(M\) is at rest on a smooth horizontal surface. A small block B of mass \(M / 2\) is placed on \(A\) at one end and projected along A with some velocity \(v\). The coefficient of friction between the block is \(\mu\). Then, the accelerations of blocks \(A\) and \(B\) before reaching a common velocity will be respectively

1 \(\frac{\mu \mathrm{g}}{2}\) (towards right), \(\frac{\mu \mathrm{g}}{2}\) (towards left)
2 \(\mu \mathrm{g}\) (towards right), \(\mu \mathrm{g}\) (towards left)
3 \(\frac{\mu \mathrm{g}}{2}\) (towards right), \(\mu \mathrm{g}\) (towards left)
4 \(\mu \mathrm{g}\) (towards right), \(\frac{\mu \mathrm{g}}{2}\) (towards left)
Laws of Motion

146190 Consider a car moving at a constant speed of \(14 \mathrm{~m} / \mathrm{s}\) around a level circular bend of radius \(45 \mathrm{~m}\). The minimum coefficient of static friction needed between the car tyres and the road so that the car goes around the bend without skidding is

1 0.44
2 1.0
3 4.4
4 0.1
Laws of Motion

146187 The arrangement shown in the figure, masses of blocks \(A\) and \(B\) are ' \(m\) ' and ' \(2 \mathrm{~m}\) ' respectively. The string is massless and inextensible. Pully is frictionless. The coefficients of static friction between \(A\) and the wedge surface is \(\frac{2}{3}\) between \(B\) and the wedge surface is \(\frac{1}{3}\). If the blocks \(A\) and \(B\) are relased from rest, acceleration of block \(A\) is

1 \(\frac{g}{2}\)
2 zero
3 \(\frac{g}{2 \sqrt{2}}\)
4 \(\frac{\mathrm{g}}{\sqrt{2}}\)
Laws of Motion

146188 Two cars are moving on a banked circular path of radius \(8 \mathrm{~m}\) having angle of banking \(45^{\circ}\). If the coefficients of static friction between the road and the tyres of the two cars are 0.5 and 0.4 respectively, then the ratio of maximum permissible speeds of the cars to avoid slipping is

1 \(\sqrt{7}: \sqrt{5}\)
2 \(\sqrt{9}: \sqrt{7}\)
3 \(\sqrt{11}: \sqrt{7}\)
4 \(\sqrt{13}: \sqrt{11}\)
Laws of Motion

146189 A long block \(A\) of mass \(M\) is at rest on a smooth horizontal surface. A small block B of mass \(M / 2\) is placed on \(A\) at one end and projected along A with some velocity \(v\). The coefficient of friction between the block is \(\mu\). Then, the accelerations of blocks \(A\) and \(B\) before reaching a common velocity will be respectively

1 \(\frac{\mu \mathrm{g}}{2}\) (towards right), \(\frac{\mu \mathrm{g}}{2}\) (towards left)
2 \(\mu \mathrm{g}\) (towards right), \(\mu \mathrm{g}\) (towards left)
3 \(\frac{\mu \mathrm{g}}{2}\) (towards right), \(\mu \mathrm{g}\) (towards left)
4 \(\mu \mathrm{g}\) (towards right), \(\frac{\mu \mathrm{g}}{2}\) (towards left)
Laws of Motion

146190 Consider a car moving at a constant speed of \(14 \mathrm{~m} / \mathrm{s}\) around a level circular bend of radius \(45 \mathrm{~m}\). The minimum coefficient of static friction needed between the car tyres and the road so that the car goes around the bend without skidding is

1 0.44
2 1.0
3 4.4
4 0.1