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

146100 Two blocks of masses \(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) connected by a light rod and the system is slipping down rough incline angle \(45^{\circ}\) with the horizontal. The frictional coefficient at both the contacts is 0.4 . If the acceleration of the system is \(a \sqrt{2}\), the value of \(\alpha\) is
(Use \(\mathbf{g}=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 4
2 3
3 2
4 6
Laws of Motion

146101 A \(10 \mathrm{~kg}\) box is pulled on a rough horizontal surface. The force \(40 \mathrm{~N}\) is applied at \(60^{\circ}\) angle from vertical. If co-efficient of kinetic friction is 0.25 , what will the acceleration of the moving box? (Consider \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(0.76 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.52 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.46 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0.68 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

146102 A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25 , then the maximum fraction of length of the chain, that can hang over one edge of the table is-

1 \(20 \%\)
2 \(25 \%\)
3 \(35 \%\)
4 \(15 \%\)
Laws of Motion

146103 Consider three masses \(M_{1}, M_{2}\) and \(M_{3}\left(M_{1}>\right.\) \(M_{2}>M_{3}\) ) are at rest on a horizontal plane as shown in the figure. Now the angle of inclination \((\theta)\) of the plane is gradually increased until the masses just begin to slide. (Assume the co-efficient of static friction between the masses and the surface is constant).
Then the correct statement of the following is

1 \(M_{3}\) begins to slide at a higher inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{2}\)
2 \(M_{3}\) begins to slide at a lower inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{2}\)
3 \(M_{1}, M_{2} \ M_{3}\) begins to slide at the same inclination angle
4 \(M_{2}\) begins to slide at a higher inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{3}\)
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Laws of Motion

146100 Two blocks of masses \(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) connected by a light rod and the system is slipping down rough incline angle \(45^{\circ}\) with the horizontal. The frictional coefficient at both the contacts is 0.4 . If the acceleration of the system is \(a \sqrt{2}\), the value of \(\alpha\) is
(Use \(\mathbf{g}=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 4
2 3
3 2
4 6
Laws of Motion

146101 A \(10 \mathrm{~kg}\) box is pulled on a rough horizontal surface. The force \(40 \mathrm{~N}\) is applied at \(60^{\circ}\) angle from vertical. If co-efficient of kinetic friction is 0.25 , what will the acceleration of the moving box? (Consider \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(0.76 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.52 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.46 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0.68 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

146102 A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25 , then the maximum fraction of length of the chain, that can hang over one edge of the table is-

1 \(20 \%\)
2 \(25 \%\)
3 \(35 \%\)
4 \(15 \%\)
Laws of Motion

146103 Consider three masses \(M_{1}, M_{2}\) and \(M_{3}\left(M_{1}>\right.\) \(M_{2}>M_{3}\) ) are at rest on a horizontal plane as shown in the figure. Now the angle of inclination \((\theta)\) of the plane is gradually increased until the masses just begin to slide. (Assume the co-efficient of static friction between the masses and the surface is constant).
Then the correct statement of the following is

1 \(M_{3}\) begins to slide at a higher inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{2}\)
2 \(M_{3}\) begins to slide at a lower inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{2}\)
3 \(M_{1}, M_{2} \ M_{3}\) begins to slide at the same inclination angle
4 \(M_{2}\) begins to slide at a higher inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{3}\)
Laws of Motion

146100 Two blocks of masses \(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) connected by a light rod and the system is slipping down rough incline angle \(45^{\circ}\) with the horizontal. The frictional coefficient at both the contacts is 0.4 . If the acceleration of the system is \(a \sqrt{2}\), the value of \(\alpha\) is
(Use \(\mathbf{g}=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 4
2 3
3 2
4 6
Laws of Motion

146101 A \(10 \mathrm{~kg}\) box is pulled on a rough horizontal surface. The force \(40 \mathrm{~N}\) is applied at \(60^{\circ}\) angle from vertical. If co-efficient of kinetic friction is 0.25 , what will the acceleration of the moving box? (Consider \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(0.76 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.52 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.46 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0.68 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

146102 A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25 , then the maximum fraction of length of the chain, that can hang over one edge of the table is-

1 \(20 \%\)
2 \(25 \%\)
3 \(35 \%\)
4 \(15 \%\)
Laws of Motion

146103 Consider three masses \(M_{1}, M_{2}\) and \(M_{3}\left(M_{1}>\right.\) \(M_{2}>M_{3}\) ) are at rest on a horizontal plane as shown in the figure. Now the angle of inclination \((\theta)\) of the plane is gradually increased until the masses just begin to slide. (Assume the co-efficient of static friction between the masses and the surface is constant).
Then the correct statement of the following is

1 \(M_{3}\) begins to slide at a higher inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{2}\)
2 \(M_{3}\) begins to slide at a lower inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{2}\)
3 \(M_{1}, M_{2} \ M_{3}\) begins to slide at the same inclination angle
4 \(M_{2}\) begins to slide at a higher inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{3}\)
Laws of Motion

146100 Two blocks of masses \(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) connected by a light rod and the system is slipping down rough incline angle \(45^{\circ}\) with the horizontal. The frictional coefficient at both the contacts is 0.4 . If the acceleration of the system is \(a \sqrt{2}\), the value of \(\alpha\) is
(Use \(\mathbf{g}=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 4
2 3
3 2
4 6
Laws of Motion

146101 A \(10 \mathrm{~kg}\) box is pulled on a rough horizontal surface. The force \(40 \mathrm{~N}\) is applied at \(60^{\circ}\) angle from vertical. If co-efficient of kinetic friction is 0.25 , what will the acceleration of the moving box? (Consider \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(0.76 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.52 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.46 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0.68 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

146102 A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25 , then the maximum fraction of length of the chain, that can hang over one edge of the table is-

1 \(20 \%\)
2 \(25 \%\)
3 \(35 \%\)
4 \(15 \%\)
Laws of Motion

146103 Consider three masses \(M_{1}, M_{2}\) and \(M_{3}\left(M_{1}>\right.\) \(M_{2}>M_{3}\) ) are at rest on a horizontal plane as shown in the figure. Now the angle of inclination \((\theta)\) of the plane is gradually increased until the masses just begin to slide. (Assume the co-efficient of static friction between the masses and the surface is constant).
Then the correct statement of the following is

1 \(M_{3}\) begins to slide at a higher inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{2}\)
2 \(M_{3}\) begins to slide at a lower inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{2}\)
3 \(M_{1}, M_{2} \ M_{3}\) begins to slide at the same inclination angle
4 \(M_{2}\) begins to slide at a higher inclination angle than \(\mathrm{M}_{1} \\mathrm{M}_{3}\)