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

366002 When a body slides down a smooth inclined plane having an angle θ, it reaches the bottom with velocity v. If a sphere rolls down the same inclined plane, its linear velocity at the bottom of the plane is

1 97v
2 57v
3 27v
4 37v
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366004 A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity vms1. If it is to climb the inclined surface to a height ' h ', then v should be
supporting img

1 107gh
2 2gh
3 2gh
4 107gh
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366005 The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle θ 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

366006 A cylinder of mass Mc and sphere of mass Ms are placed at points A and B of two inclines respectively. (See Figure). If they roll on the incline without slipping such that their accelerations are the same, then ratio of sinθCsinθs is :
supporting img

1 1514
2 87
3 1514
4 87
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366002 When a body slides down a smooth inclined plane having an angle θ, it reaches the bottom with velocity v. If a sphere rolls down the same inclined plane, its linear velocity at the bottom of the plane is

1 97v
2 57v
3 27v
4 37v
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366003 A uniform cylinder (mass M ) of radius R is kept on an accelerating platform (mass M ) as shown in figure. If the cylinder rolls without slipping on the platform, determine the magnitude of acceleration of the centre of mass of cylinder. Assuming the coefficient of friction μ=0.4. determine the maximum acceleration of the platform may have without slip between the cylinder and the platform. (Take g=10 m/s2 )
supporting img

1 15m/s2
2 12m/s2
3 19m/s2
4 10m/s2
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366004 A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity vms1. If it is to climb the inclined surface to a height ' h ', then v should be
supporting img

1 107gh
2 2gh
3 2gh
4 107gh
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366005 The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle θ 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

366006 A cylinder of mass Mc and sphere of mass Ms are placed at points A and B of two inclines respectively. (See Figure). If they roll on the incline without slipping such that their accelerations are the same, then ratio of sinθCsinθs is :
supporting img

1 1514
2 87
3 1514
4 87
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366002 When a body slides down a smooth inclined plane having an angle θ, it reaches the bottom with velocity v. If a sphere rolls down the same inclined plane, its linear velocity at the bottom of the plane is

1 97v
2 57v
3 27v
4 37v
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366003 A uniform cylinder (mass M ) of radius R is kept on an accelerating platform (mass M ) as shown in figure. If the cylinder rolls without slipping on the platform, determine the magnitude of acceleration of the centre of mass of cylinder. Assuming the coefficient of friction μ=0.4. determine the maximum acceleration of the platform may have without slip between the cylinder and the platform. (Take g=10 m/s2 )
supporting img

1 15m/s2
2 12m/s2
3 19m/s2
4 10m/s2
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366004 A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity vms1. If it is to climb the inclined surface to a height ' h ', then v should be
supporting img

1 107gh
2 2gh
3 2gh
4 107gh
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366005 The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle θ 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

366006 A cylinder of mass Mc and sphere of mass Ms are placed at points A and B of two inclines respectively. (See Figure). If they roll on the incline without slipping such that their accelerations are the same, then ratio of sinθCsinθs is :
supporting img

1 1514
2 87
3 1514
4 87
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366002 When a body slides down a smooth inclined plane having an angle θ, it reaches the bottom with velocity v. If a sphere rolls down the same inclined plane, its linear velocity at the bottom of the plane is

1 97v
2 57v
3 27v
4 37v
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366003 A uniform cylinder (mass M ) of radius R is kept on an accelerating platform (mass M ) as shown in figure. If the cylinder rolls without slipping on the platform, determine the magnitude of acceleration of the centre of mass of cylinder. Assuming the coefficient of friction μ=0.4. determine the maximum acceleration of the platform may have without slip between the cylinder and the platform. (Take g=10 m/s2 )
supporting img

1 15m/s2
2 12m/s2
3 19m/s2
4 10m/s2
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366004 A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity vms1. If it is to climb the inclined surface to a height ' h ', then v should be
supporting img

1 107gh
2 2gh
3 2gh
4 107gh
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366005 The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle θ 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

366006 A cylinder of mass Mc and sphere of mass Ms are placed at points A and B of two inclines respectively. (See Figure). If they roll on the incline without slipping such that their accelerations are the same, then ratio of sinθCsinθs is :
supporting img

1 1514
2 87
3 1514
4 87
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366002 When a body slides down a smooth inclined plane having an angle θ, it reaches the bottom with velocity v. If a sphere rolls down the same inclined plane, its linear velocity at the bottom of the plane is

1 97v
2 57v
3 27v
4 37v
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366003 A uniform cylinder (mass M ) of radius R is kept on an accelerating platform (mass M ) as shown in figure. If the cylinder rolls without slipping on the platform, determine the magnitude of acceleration of the centre of mass of cylinder. Assuming the coefficient of friction μ=0.4. determine the maximum acceleration of the platform may have without slip between the cylinder and the platform. (Take g=10 m/s2 )
supporting img

1 15m/s2
2 12m/s2
3 19m/s2
4 10m/s2
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366004 A solid sphere is rolling on a frictionless surface, shown in figure with a translational velocity vms1. If it is to climb the inclined surface to a height ' h ', then v should be
supporting img

1 107gh
2 2gh
3 2gh
4 107gh
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366005 The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle θ 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

366006 A cylinder of mass Mc and sphere of mass Ms are placed at points A and B of two inclines respectively. (See Figure). If they roll on the incline without slipping such that their accelerations are the same, then ratio of sinθCsinθs is :
supporting img

1 1514
2 87
3 1514
4 87