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

372098 The frictional force on a rolling cylinder is proportional to

1 the tangential force and directed perpendicular to the surfaces in contact
2 the tangential force and directed parallel to the surfaces in contact
3 the normal force and directed parallel to the surfaces in contact
4 the normal force and directed perpendicular to the surface in contact
LAWS OF MOTION (ADDITIONAL)

372099 A body of mass \(m\) slides down a rough plane of inclination \(\alpha\). If \(\mu\) is the coefficient of friction, then the acceleration of the body will be

1 \(g \sin \alpha\)
2 \(\mu \cos \alpha\)
3 \(g(\sin \alpha-\mu \cos \alpha)\)
4 \(g(\cos \alpha-\mu \sin \alpha)\)
LAWS OF MOTION (ADDITIONAL)

372100 How will coefficient of friction change if the normal reaction is halved?

1 Doubled
2 Halved
3 Unchanged
4 Cannot be predicted
LAWS OF MOTION (ADDITIONAL)

372101 A small object placed on a rotating horizontal turn table just slips when it is placed at a distance \(9 \mathrm{~cm}\) from the axis of rotation. If the angular velocity of the turn table is tripled the object slips when its distance from the axis of rotation is :

1 \(1 \mathrm{~cm}\)
2 \(2 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(9 \mathrm{~cm}\)
LAWS OF MOTION (ADDITIONAL)

372102 An insect crawls up a hemispherical surface very slowly. The coefficient of friction between the insect and the surface is \(1 / 3\). If the line joining the centre of hemispherical surface and the insect makes an angle \(\alpha\) with the vertical, what is the maximum value of \(\alpha\) ?

1 \(\cot ^{-1} 3\)
2 \(\tan ^{-1} 3\)
3 \(\sec ^{-1} 3\)
4 \(\operatorname{cosee}^{-1} 3\)
LAWS OF MOTION (ADDITIONAL)

372098 The frictional force on a rolling cylinder is proportional to

1 the tangential force and directed perpendicular to the surfaces in contact
2 the tangential force and directed parallel to the surfaces in contact
3 the normal force and directed parallel to the surfaces in contact
4 the normal force and directed perpendicular to the surface in contact
LAWS OF MOTION (ADDITIONAL)

372099 A body of mass \(m\) slides down a rough plane of inclination \(\alpha\). If \(\mu\) is the coefficient of friction, then the acceleration of the body will be

1 \(g \sin \alpha\)
2 \(\mu \cos \alpha\)
3 \(g(\sin \alpha-\mu \cos \alpha)\)
4 \(g(\cos \alpha-\mu \sin \alpha)\)
LAWS OF MOTION (ADDITIONAL)

372100 How will coefficient of friction change if the normal reaction is halved?

1 Doubled
2 Halved
3 Unchanged
4 Cannot be predicted
LAWS OF MOTION (ADDITIONAL)

372101 A small object placed on a rotating horizontal turn table just slips when it is placed at a distance \(9 \mathrm{~cm}\) from the axis of rotation. If the angular velocity of the turn table is tripled the object slips when its distance from the axis of rotation is :

1 \(1 \mathrm{~cm}\)
2 \(2 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(9 \mathrm{~cm}\)
LAWS OF MOTION (ADDITIONAL)

372102 An insect crawls up a hemispherical surface very slowly. The coefficient of friction between the insect and the surface is \(1 / 3\). If the line joining the centre of hemispherical surface and the insect makes an angle \(\alpha\) with the vertical, what is the maximum value of \(\alpha\) ?

1 \(\cot ^{-1} 3\)
2 \(\tan ^{-1} 3\)
3 \(\sec ^{-1} 3\)
4 \(\operatorname{cosee}^{-1} 3\)
LAWS OF MOTION (ADDITIONAL)

372098 The frictional force on a rolling cylinder is proportional to

1 the tangential force and directed perpendicular to the surfaces in contact
2 the tangential force and directed parallel to the surfaces in contact
3 the normal force and directed parallel to the surfaces in contact
4 the normal force and directed perpendicular to the surface in contact
LAWS OF MOTION (ADDITIONAL)

372099 A body of mass \(m\) slides down a rough plane of inclination \(\alpha\). If \(\mu\) is the coefficient of friction, then the acceleration of the body will be

1 \(g \sin \alpha\)
2 \(\mu \cos \alpha\)
3 \(g(\sin \alpha-\mu \cos \alpha)\)
4 \(g(\cos \alpha-\mu \sin \alpha)\)
LAWS OF MOTION (ADDITIONAL)

372100 How will coefficient of friction change if the normal reaction is halved?

1 Doubled
2 Halved
3 Unchanged
4 Cannot be predicted
LAWS OF MOTION (ADDITIONAL)

372101 A small object placed on a rotating horizontal turn table just slips when it is placed at a distance \(9 \mathrm{~cm}\) from the axis of rotation. If the angular velocity of the turn table is tripled the object slips when its distance from the axis of rotation is :

1 \(1 \mathrm{~cm}\)
2 \(2 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(9 \mathrm{~cm}\)
LAWS OF MOTION (ADDITIONAL)

372102 An insect crawls up a hemispherical surface very slowly. The coefficient of friction between the insect and the surface is \(1 / 3\). If the line joining the centre of hemispherical surface and the insect makes an angle \(\alpha\) with the vertical, what is the maximum value of \(\alpha\) ?

1 \(\cot ^{-1} 3\)
2 \(\tan ^{-1} 3\)
3 \(\sec ^{-1} 3\)
4 \(\operatorname{cosee}^{-1} 3\)
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LAWS OF MOTION (ADDITIONAL)

372098 The frictional force on a rolling cylinder is proportional to

1 the tangential force and directed perpendicular to the surfaces in contact
2 the tangential force and directed parallel to the surfaces in contact
3 the normal force and directed parallel to the surfaces in contact
4 the normal force and directed perpendicular to the surface in contact
LAWS OF MOTION (ADDITIONAL)

372099 A body of mass \(m\) slides down a rough plane of inclination \(\alpha\). If \(\mu\) is the coefficient of friction, then the acceleration of the body will be

1 \(g \sin \alpha\)
2 \(\mu \cos \alpha\)
3 \(g(\sin \alpha-\mu \cos \alpha)\)
4 \(g(\cos \alpha-\mu \sin \alpha)\)
LAWS OF MOTION (ADDITIONAL)

372100 How will coefficient of friction change if the normal reaction is halved?

1 Doubled
2 Halved
3 Unchanged
4 Cannot be predicted
LAWS OF MOTION (ADDITIONAL)

372101 A small object placed on a rotating horizontal turn table just slips when it is placed at a distance \(9 \mathrm{~cm}\) from the axis of rotation. If the angular velocity of the turn table is tripled the object slips when its distance from the axis of rotation is :

1 \(1 \mathrm{~cm}\)
2 \(2 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(9 \mathrm{~cm}\)
LAWS OF MOTION (ADDITIONAL)

372102 An insect crawls up a hemispherical surface very slowly. The coefficient of friction between the insect and the surface is \(1 / 3\). If the line joining the centre of hemispherical surface and the insect makes an angle \(\alpha\) with the vertical, what is the maximum value of \(\alpha\) ?

1 \(\cot ^{-1} 3\)
2 \(\tan ^{-1} 3\)
3 \(\sec ^{-1} 3\)
4 \(\operatorname{cosee}^{-1} 3\)
LAWS OF MOTION (ADDITIONAL)

372098 The frictional force on a rolling cylinder is proportional to

1 the tangential force and directed perpendicular to the surfaces in contact
2 the tangential force and directed parallel to the surfaces in contact
3 the normal force and directed parallel to the surfaces in contact
4 the normal force and directed perpendicular to the surface in contact
LAWS OF MOTION (ADDITIONAL)

372099 A body of mass \(m\) slides down a rough plane of inclination \(\alpha\). If \(\mu\) is the coefficient of friction, then the acceleration of the body will be

1 \(g \sin \alpha\)
2 \(\mu \cos \alpha\)
3 \(g(\sin \alpha-\mu \cos \alpha)\)
4 \(g(\cos \alpha-\mu \sin \alpha)\)
LAWS OF MOTION (ADDITIONAL)

372100 How will coefficient of friction change if the normal reaction is halved?

1 Doubled
2 Halved
3 Unchanged
4 Cannot be predicted
LAWS OF MOTION (ADDITIONAL)

372101 A small object placed on a rotating horizontal turn table just slips when it is placed at a distance \(9 \mathrm{~cm}\) from the axis of rotation. If the angular velocity of the turn table is tripled the object slips when its distance from the axis of rotation is :

1 \(1 \mathrm{~cm}\)
2 \(2 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(9 \mathrm{~cm}\)
LAWS OF MOTION (ADDITIONAL)

372102 An insect crawls up a hemispherical surface very slowly. The coefficient of friction between the insect and the surface is \(1 / 3\). If the line joining the centre of hemispherical surface and the insect makes an angle \(\alpha\) with the vertical, what is the maximum value of \(\alpha\) ?

1 \(\cot ^{-1} 3\)
2 \(\tan ^{-1} 3\)
3 \(\sec ^{-1} 3\)
4 \(\operatorname{cosee}^{-1} 3\)