LAWS OF FRICTION
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Laws of Motion

270364 A block of mass\(m\) slides down an inclined plane of inclination \(\theta\) with uniform speed. The coefficient of friction between the block and the plane is \(\mu\). The contact force between the block and the plane is

1 \(m g \sin \theta \sqrt{1+\mu^{2}}\)
2 \(\sqrt{(m g \sin \theta)^{2}+(\mu m g \cos \theta)^{2}}\)
3 \(m g \sin \theta\)
4 \(\mathrm{mg}\)
Laws of Motion

270365 In the pulley arrangement shown, the pulley \(\mathbf{P}_{2}\) is movable.Assuming coefficient of friction between \(m\) and surface to be \(\mu\), the minimum value of \(M\) for which \(m\) is at rest is

1 \(M=\frac{\mu m}{2}\)
2 \(m=\frac{\mu M}{2} 3\)
3 \(M=\frac{m}{2 \mu}\)
4 \(m=\frac{M}{2 \mu}\)
Laws of Motion

270366 On an inclined plane of inclination angle\(30^{\circ}\), a block is placed. It is observed that the force to drag the block along the plane upwards is smaller than the force required to lift it. The maximum value of coefficient of friction is

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

270367 A body slides over an inclined plane forming an angle of\(45^{\circ}\) with the horizontal. The distance \(x\) travelled by the body in time \(t\) is described by the equaiton \(x=k t^{2}\), where \(k=\) 1.732. The coefficient of friction between the body and the plane has a value

1 \(\mu=0.5\)
2 \(\mu=1\)
3 \(\mu=0.25\)
4 \(\mu=0.75\)
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Laws of Motion

270364 A block of mass\(m\) slides down an inclined plane of inclination \(\theta\) with uniform speed. The coefficient of friction between the block and the plane is \(\mu\). The contact force between the block and the plane is

1 \(m g \sin \theta \sqrt{1+\mu^{2}}\)
2 \(\sqrt{(m g \sin \theta)^{2}+(\mu m g \cos \theta)^{2}}\)
3 \(m g \sin \theta\)
4 \(\mathrm{mg}\)
Laws of Motion

270365 In the pulley arrangement shown, the pulley \(\mathbf{P}_{2}\) is movable.Assuming coefficient of friction between \(m\) and surface to be \(\mu\), the minimum value of \(M\) for which \(m\) is at rest is

1 \(M=\frac{\mu m}{2}\)
2 \(m=\frac{\mu M}{2} 3\)
3 \(M=\frac{m}{2 \mu}\)
4 \(m=\frac{M}{2 \mu}\)
Laws of Motion

270366 On an inclined plane of inclination angle\(30^{\circ}\), a block is placed. It is observed that the force to drag the block along the plane upwards is smaller than the force required to lift it. The maximum value of coefficient of friction is

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

270367 A body slides over an inclined plane forming an angle of\(45^{\circ}\) with the horizontal. The distance \(x\) travelled by the body in time \(t\) is described by the equaiton \(x=k t^{2}\), where \(k=\) 1.732. The coefficient of friction between the body and the plane has a value

1 \(\mu=0.5\)
2 \(\mu=1\)
3 \(\mu=0.25\)
4 \(\mu=0.75\)
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Laws of Motion

270364 A block of mass\(m\) slides down an inclined plane of inclination \(\theta\) with uniform speed. The coefficient of friction between the block and the plane is \(\mu\). The contact force between the block and the plane is

1 \(m g \sin \theta \sqrt{1+\mu^{2}}\)
2 \(\sqrt{(m g \sin \theta)^{2}+(\mu m g \cos \theta)^{2}}\)
3 \(m g \sin \theta\)
4 \(\mathrm{mg}\)
Laws of Motion

270365 In the pulley arrangement shown, the pulley \(\mathbf{P}_{2}\) is movable.Assuming coefficient of friction between \(m\) and surface to be \(\mu\), the minimum value of \(M\) for which \(m\) is at rest is

1 \(M=\frac{\mu m}{2}\)
2 \(m=\frac{\mu M}{2} 3\)
3 \(M=\frac{m}{2 \mu}\)
4 \(m=\frac{M}{2 \mu}\)
Laws of Motion

270366 On an inclined plane of inclination angle\(30^{\circ}\), a block is placed. It is observed that the force to drag the block along the plane upwards is smaller than the force required to lift it. The maximum value of coefficient of friction is

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

270367 A body slides over an inclined plane forming an angle of\(45^{\circ}\) with the horizontal. The distance \(x\) travelled by the body in time \(t\) is described by the equaiton \(x=k t^{2}\), where \(k=\) 1.732. The coefficient of friction between the body and the plane has a value

1 \(\mu=0.5\)
2 \(\mu=1\)
3 \(\mu=0.25\)
4 \(\mu=0.75\)
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Laws of Motion

270364 A block of mass\(m\) slides down an inclined plane of inclination \(\theta\) with uniform speed. The coefficient of friction between the block and the plane is \(\mu\). The contact force between the block and the plane is

1 \(m g \sin \theta \sqrt{1+\mu^{2}}\)
2 \(\sqrt{(m g \sin \theta)^{2}+(\mu m g \cos \theta)^{2}}\)
3 \(m g \sin \theta\)
4 \(\mathrm{mg}\)
Laws of Motion

270365 In the pulley arrangement shown, the pulley \(\mathbf{P}_{2}\) is movable.Assuming coefficient of friction between \(m\) and surface to be \(\mu\), the minimum value of \(M\) for which \(m\) is at rest is

1 \(M=\frac{\mu m}{2}\)
2 \(m=\frac{\mu M}{2} 3\)
3 \(M=\frac{m}{2 \mu}\)
4 \(m=\frac{M}{2 \mu}\)
Laws of Motion

270366 On an inclined plane of inclination angle\(30^{\circ}\), a block is placed. It is observed that the force to drag the block along the plane upwards is smaller than the force required to lift it. The maximum value of coefficient of friction is

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

270367 A body slides over an inclined plane forming an angle of\(45^{\circ}\) with the horizontal. The distance \(x\) travelled by the body in time \(t\) is described by the equaiton \(x=k t^{2}\), where \(k=\) 1.732. The coefficient of friction between the body and the plane has a value

1 \(\mu=0.5\)
2 \(\mu=1\)
3 \(\mu=0.25\)
4 \(\mu=0.75\)
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