Plane Motion of a Rigid Body
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365994 A uniform solid cylindrical roller of mass ' \(m\) 'is being pulled on a horizontal surface with force F parallel to the surface and applied at its centre. If the acceleration of the cylindrical roller is ' \(a\) ' and it is rolling without slipping then the value of 'F' is

1 \(\dfrac{3}{2} m a\)
2 \(\dfrac{5}{3} m a\)
3 \(2 m a\)
4 \(m a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365995 A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown in the figure. Relative to its initial position with respect to the table, the ball
(1) Remains stationary if there is no friction between the paper and the ball.
(2) Moves to the left and starts rolling backwards, i.e., to the left if there is a friction between the paper and the ball.
(3) Moves forward, i.e., in the direction in " which the paper is pulled.
Here, the correct statements is/are
supporting img

1 Both (1) and (3)
2 Only (1)
3 Only (3)
4 Only(2)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365996 A solid cylinder is wrapped with a string and placed on an inclined plane as shown in the figure. Then the frictional force acting between cylinder and plane is
supporting img

1 zero
2 \(5 \mathrm{mg}\)
3 \(\dfrac{7 m g}{2}\)
4 \(\dfrac{m g}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365997 The ratio of the accelerations for a solid sphere (mass '\(m\)' and radius '\(R\)') rolling down an incline of angle '\(\theta\)' without slipping and slipping down the incline without rolling is :

1 \(5: 7\)
2 \(2: 3\)
3 \(2: 5\)
4 \(7: 5\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365994 A uniform solid cylindrical roller of mass ' \(m\) 'is being pulled on a horizontal surface with force F parallel to the surface and applied at its centre. If the acceleration of the cylindrical roller is ' \(a\) ' and it is rolling without slipping then the value of 'F' is

1 \(\dfrac{3}{2} m a\)
2 \(\dfrac{5}{3} m a\)
3 \(2 m a\)
4 \(m a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365995 A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown in the figure. Relative to its initial position with respect to the table, the ball
(1) Remains stationary if there is no friction between the paper and the ball.
(2) Moves to the left and starts rolling backwards, i.e., to the left if there is a friction between the paper and the ball.
(3) Moves forward, i.e., in the direction in " which the paper is pulled.
Here, the correct statements is/are
supporting img

1 Both (1) and (3)
2 Only (1)
3 Only (3)
4 Only(2)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365996 A solid cylinder is wrapped with a string and placed on an inclined plane as shown in the figure. Then the frictional force acting between cylinder and plane is
supporting img

1 zero
2 \(5 \mathrm{mg}\)
3 \(\dfrac{7 m g}{2}\)
4 \(\dfrac{m g}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365997 The ratio of the accelerations for a solid sphere (mass '\(m\)' and radius '\(R\)') rolling down an incline of angle '\(\theta\)' without slipping and slipping down the incline without rolling is :

1 \(5: 7\)
2 \(2: 3\)
3 \(2: 5\)
4 \(7: 5\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365994 A uniform solid cylindrical roller of mass ' \(m\) 'is being pulled on a horizontal surface with force F parallel to the surface and applied at its centre. If the acceleration of the cylindrical roller is ' \(a\) ' and it is rolling without slipping then the value of 'F' is

1 \(\dfrac{3}{2} m a\)
2 \(\dfrac{5}{3} m a\)
3 \(2 m a\)
4 \(m a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365995 A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown in the figure. Relative to its initial position with respect to the table, the ball
(1) Remains stationary if there is no friction between the paper and the ball.
(2) Moves to the left and starts rolling backwards, i.e., to the left if there is a friction between the paper and the ball.
(3) Moves forward, i.e., in the direction in " which the paper is pulled.
Here, the correct statements is/are
supporting img

1 Both (1) and (3)
2 Only (1)
3 Only (3)
4 Only(2)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365996 A solid cylinder is wrapped with a string and placed on an inclined plane as shown in the figure. Then the frictional force acting between cylinder and plane is
supporting img

1 zero
2 \(5 \mathrm{mg}\)
3 \(\dfrac{7 m g}{2}\)
4 \(\dfrac{m g}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365997 The ratio of the accelerations for a solid sphere (mass '\(m\)' and radius '\(R\)') rolling down an incline of angle '\(\theta\)' without slipping and slipping down the incline without rolling is :

1 \(5: 7\)
2 \(2: 3\)
3 \(2: 5\)
4 \(7: 5\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365994 A uniform solid cylindrical roller of mass ' \(m\) 'is being pulled on a horizontal surface with force F parallel to the surface and applied at its centre. If the acceleration of the cylindrical roller is ' \(a\) ' and it is rolling without slipping then the value of 'F' is

1 \(\dfrac{3}{2} m a\)
2 \(\dfrac{5}{3} m a\)
3 \(2 m a\)
4 \(m a\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365995 A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown in the figure. Relative to its initial position with respect to the table, the ball
(1) Remains stationary if there is no friction between the paper and the ball.
(2) Moves to the left and starts rolling backwards, i.e., to the left if there is a friction between the paper and the ball.
(3) Moves forward, i.e., in the direction in " which the paper is pulled.
Here, the correct statements is/are
supporting img

1 Both (1) and (3)
2 Only (1)
3 Only (3)
4 Only(2)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365996 A solid cylinder is wrapped with a string and placed on an inclined plane as shown in the figure. Then the frictional force acting between cylinder and plane is
supporting img

1 zero
2 \(5 \mathrm{mg}\)
3 \(\dfrac{7 m g}{2}\)
4 \(\dfrac{m g}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365997 The ratio of the accelerations for a solid sphere (mass '\(m\)' and radius '\(R\)') rolling down an incline of angle '\(\theta\)' without slipping and slipping down the incline without rolling is :

1 \(5: 7\)
2 \(2: 3\)
3 \(2: 5\)
4 \(7: 5\)