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

371957 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 (ADDITIONAL)

371958 A box of mass \(2 \mathrm{~kg}\) is placed on a inclined plane that makes \(30^{\circ}\) with the horizontal. The coefficient of friction between the box and inclined plane is 0.2 . A force \(F\) is applied on the box perpendicular to the incline to prevent the box from sliding down. The minimum value of \(F\) is(acceleration due to gravity \((\mathrm{g})=10 \mathrm{~ms}^{-2}\) )

1 \(28.6 \mathrm{~N}\)
2 \(22.8 \mathrm{~N}\)
3 \(32.7 \mathrm{~N}\)
4 \(44.6 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371959 The coefficient of static friction between the road and tyres of a car is 0.4 . The maximum permissible speed of the car is \(10 \mathrm{~ms}^{-1}\) on curved unbanked road. Then the maximum radius of curvature of the road is (acceleration due to gravity \(=10 \mathbf{m s}^{-2}\) )

1 \(10 \sqrt{5} \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(20 \sqrt{2} \mathrm{~m}\)
4 \(30 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

371960 The coefficient of friction between object and substance, if we need to move an object of weight \(150 \mathrm{~N}\) on a horizontal surface with a force of \(75 \mathrm{~N}\). is

1 0.8
2 0.5
3 0.7
4 0.9
LAWS OF MOTION (ADDITIONAL)

371957 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 (ADDITIONAL)

371958 A box of mass \(2 \mathrm{~kg}\) is placed on a inclined plane that makes \(30^{\circ}\) with the horizontal. The coefficient of friction between the box and inclined plane is 0.2 . A force \(F\) is applied on the box perpendicular to the incline to prevent the box from sliding down. The minimum value of \(F\) is(acceleration due to gravity \((\mathrm{g})=10 \mathrm{~ms}^{-2}\) )

1 \(28.6 \mathrm{~N}\)
2 \(22.8 \mathrm{~N}\)
3 \(32.7 \mathrm{~N}\)
4 \(44.6 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371959 The coefficient of static friction between the road and tyres of a car is 0.4 . The maximum permissible speed of the car is \(10 \mathrm{~ms}^{-1}\) on curved unbanked road. Then the maximum radius of curvature of the road is (acceleration due to gravity \(=10 \mathbf{m s}^{-2}\) )

1 \(10 \sqrt{5} \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(20 \sqrt{2} \mathrm{~m}\)
4 \(30 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

371960 The coefficient of friction between object and substance, if we need to move an object of weight \(150 \mathrm{~N}\) on a horizontal surface with a force of \(75 \mathrm{~N}\). is

1 0.8
2 0.5
3 0.7
4 0.9
LAWS OF MOTION (ADDITIONAL)

371957 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 (ADDITIONAL)

371958 A box of mass \(2 \mathrm{~kg}\) is placed on a inclined plane that makes \(30^{\circ}\) with the horizontal. The coefficient of friction between the box and inclined plane is 0.2 . A force \(F\) is applied on the box perpendicular to the incline to prevent the box from sliding down. The minimum value of \(F\) is(acceleration due to gravity \((\mathrm{g})=10 \mathrm{~ms}^{-2}\) )

1 \(28.6 \mathrm{~N}\)
2 \(22.8 \mathrm{~N}\)
3 \(32.7 \mathrm{~N}\)
4 \(44.6 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371959 The coefficient of static friction between the road and tyres of a car is 0.4 . The maximum permissible speed of the car is \(10 \mathrm{~ms}^{-1}\) on curved unbanked road. Then the maximum radius of curvature of the road is (acceleration due to gravity \(=10 \mathbf{m s}^{-2}\) )

1 \(10 \sqrt{5} \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(20 \sqrt{2} \mathrm{~m}\)
4 \(30 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

371960 The coefficient of friction between object and substance, if we need to move an object of weight \(150 \mathrm{~N}\) on a horizontal surface with a force of \(75 \mathrm{~N}\). is

1 0.8
2 0.5
3 0.7
4 0.9
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LAWS OF MOTION (ADDITIONAL)

371957 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 (ADDITIONAL)

371958 A box of mass \(2 \mathrm{~kg}\) is placed on a inclined plane that makes \(30^{\circ}\) with the horizontal. The coefficient of friction between the box and inclined plane is 0.2 . A force \(F\) is applied on the box perpendicular to the incline to prevent the box from sliding down. The minimum value of \(F\) is(acceleration due to gravity \((\mathrm{g})=10 \mathrm{~ms}^{-2}\) )

1 \(28.6 \mathrm{~N}\)
2 \(22.8 \mathrm{~N}\)
3 \(32.7 \mathrm{~N}\)
4 \(44.6 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371959 The coefficient of static friction between the road and tyres of a car is 0.4 . The maximum permissible speed of the car is \(10 \mathrm{~ms}^{-1}\) on curved unbanked road. Then the maximum radius of curvature of the road is (acceleration due to gravity \(=10 \mathbf{m s}^{-2}\) )

1 \(10 \sqrt{5} \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(20 \sqrt{2} \mathrm{~m}\)
4 \(30 \mathrm{~m}\)
LAWS OF MOTION (ADDITIONAL)

371960 The coefficient of friction between object and substance, if we need to move an object of weight \(150 \mathrm{~N}\) on a horizontal surface with a force of \(75 \mathrm{~N}\). is

1 0.8
2 0.5
3 0.7
4 0.9