Physics-
General
Easy
Question
A small sphere of mass 1 kg is rolling without slipping on a stationary base with linear speed v = 
. It leaves the inclined plane at point C Find its linear speed at point C :-
The correct answer is:
Related Questions to study
physics-
A solid sphere has linear velocity 
= 4 m/s and angular velocity 
=9 rad/s as shown. Ground on which it is moving, is smooth. It collides elastically with a rough wall of coefficient of friction 
. Radius of the sphere is 1 m and mass is 2 kg. What is net linear impulse imparted by the wall on the sphere during impact :-
A solid sphere has linear velocity = 4 m/s and angular velocity =9 rad/s as shown. Ground on which it is moving, is smooth. It collides elastically with a rough wall of coefficient of friction . Radius of the sphere is 1 m and mass is 2 kg. What is net linear impulse imparted by the wall on the sphere during impact :-
physics-General
physics-
A solid sphere has linear velocity = 4 m/s and angular velocity =9 rad/s as shown. Ground on which it is moving, is smooth. It collides elastically with a rough wall of coefficient of friction . Radius of the sphere is 1 m and mass is 2 kg. If the sphere after colliding with the wall roll without slipping in opposite direction, then coefficient of friction is :-
A solid sphere has linear velocity = 4 m/s and angular velocity =9 rad/s as shown. Ground on which it is moving, is smooth. It collides elastically with a rough wall of coefficient of friction . Radius of the sphere is 1 m and mass is 2 kg. If the sphere after colliding with the wall roll without slipping in opposite direction, then coefficient of friction is :-
physics-General
physics-
A solid sphere is rolling without slipping on rough ground as shown in figure. It collides elastically with an identical another sphere at rest. There is no friction between the two spheres. Radius of each sphere is R and mass is m. What is the net angular impulse imparted to second sphere by the external forces ?
A solid sphere is rolling without slipping on rough ground as shown in figure. It collides elastically with an identical another sphere at rest. There is no friction between the two spheres. Radius of each sphere is R and mass is m. What is the net angular impulse imparted to second sphere by the external forces ?
physics-General
physics-
A solid sphere is rolling without slipping on rough ground as shown in figure. It collides elastically with an identical another sphere at rest. There is no friction between the two spheres. Radius of each sphere is R and mass is m. Linear velocity of first sphere after it again starts rolling without slipping is :-
A solid sphere is rolling without slipping on rough ground as shown in figure. It collides elastically with an identical another sphere at rest. There is no friction between the two spheres. Radius of each sphere is R and mass is m. Linear velocity of first sphere after it again starts rolling without slipping is :-
physics-General
physics-
A solid sphere is kept over a smooth surface as shown is figure. It is hit by a cue at height h above the centre C. If the surface is rough, then after hitting the sphere, in which case the force of friction is in forward direction:-
A solid sphere is kept over a smooth surface as shown is figure. It is hit by a cue at height h above the centre C. If the surface is rough, then after hitting the sphere, in which case the force of friction is in forward direction:-
physics-General
physics-
A solid sphere is kept over a smooth surface as shown is figure. It is hit by a cue at height h above the centre C. In case 1,
and in case 2,
Suppose in case 1 the sphere acquires a total kinetic energy 
and in case 2 total kinetic energy is 
. Then :-
A solid sphere is kept over a smooth surface as shown is figure. It is hit by a cue at height h above the centre C. In case 1, and in case 2, Suppose in case 1 the sphere acquires a total kinetic energy and in case 2 total kinetic energy is . Then :-
physics-General
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In rotational motion if angular acceleration (or retardation) is constant we can apply equations of motion 
= 
etc. Here 
= 
A solid sphere of mass 5 kg and radius 1 m after rotating with angular speed = 40 rad/s is placed between two smooth walls on a rough ground. Distance between the walls is slightly greater than the diameter of the sphere. Coefficient of friction between the sphere and the ground is = 0.1. Sphere will stop rotating after time t = ......... s:
In rotational motion if angular acceleration (or retardation) is constant we can apply equations of motion = etc. Here = A solid sphere of mass 5 kg and radius 1 m after rotating with angular speed = 40 rad/s is placed between two smooth walls on a rough ground. Distance between the walls is slightly greater than the diameter of the sphere. Coefficient of friction between the sphere and the ground is = 0.1. Sphere will stop rotating after time t = ......... s:
physics-General
physics-
A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speed 2v and v respectively, strike the bar (as shown in the fig.) and stick to the bar after collision. Denoting angular velocity (about the centre of mass), total energy and centre of mass velocity by , E and 
respectively, we have after collision:
A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two point masses m and 2m moving in the same horizontal plane with speed 2v and v respectively, strike the bar (as shown in the fig.) and stick to the bar after collision. Denoting angular velocity (about the centre of mass), total energy and centre of mass velocity by , E and respectively, we have after collision:
physics-General
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The moment of inertia of a thin square plate ABCD, of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is ( where 
and 
are respectively moments of inertia about axis 1, 2, 3 and 4 which are in the plane of the plate)
The moment of inertia of a thin square plate ABCD, of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is ( where and are respectively moments of inertia about axis 1, 2, 3 and 4 which are in the plane of the plate)
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A uniform disc is rolling on a horizontal surface. At a certain instant B is the point of contact and A is at height 2R from ground, where R is radius of disc
A uniform disc is rolling on a horizontal surface. At a certain instant B is the point of contact and A is at height 2R from ground, where R is radius of disc
physics-General
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In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then
In the figure shown, the plank is being pulled to the right with a constant speed v. If the cylinder does not slip then
physics-General
physics-
A uniform circular disc placed on a rough horizontal surface has initially velocity 
and an angular velocity as shown in the figure. The disc comes to rest after moving some distance in the direction of motion. Then 
is
A uniform circular disc placed on a rough horizontal surface has initially velocity and an angular velocity as shown in the figure. The disc comes to rest after moving some distance in the direction of motion. Then is
physics-General
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A ring of mass m and radius R has three particles attached to the ring as shown in the figure. The centre of the ring has a speed . The kinetic energy of the system is : (slipping is absent)
A ring of mass m and radius R has three particles attached to the ring as shown in the figure. The centre of the ring has a speed . The kinetic energy of the system is : (slipping is absent)
physics-General
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A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity and acceleration vectors of point P is
A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity and acceleration vectors of point P is
physics-General
physics-
Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B. The ratio of translational kinetic energy to rotational kinetic energy, when the cylinder reaches point C is
Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B. The ratio of translational kinetic energy to rotational kinetic energy, when the cylinder reaches point C is
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