Sphere A with mass m and radius r rolls without slipping with speed v1 on a horizontal surface when it hits an identical sphere B that is at rest. If the coefficient of friction between the spheres and the surface is μ, the friction between spheres is negligible, and the impact is perfectly elastic e = 1, determine: the velocity of the centre of mass, and the angular velocity, of each sphere immediately after impact the acceleration of the centre of mass, and the angular acceleration, of each sphere immediately after impact the angular velocity of each sphere after it has started rolling uniformly
Sphere A with mass m and radius r rolls without slipping with speed v1 on a horizontal surface when it hits an identical sphere B that is at rest. If the coefficient of friction between the spheres and the surface is μ, the friction between spheres is negligible, and the impact is perfectly elastic e = 1, determine: the velocity of the centre of mass, and the angular velocity, of each sphere immediately after impact the acceleration of the centre of mass, and the angular acceleration, of each sphere immediately after impact the angular velocity of each sphere after it has started rolling uniformly
Sphere A with mass m and radius r rolls without slipping with speed v1 on a horizontal surface when it hits an identical sphere B that is at rest. If the coefficient of friction between the spheres and the surface is μ, the friction between spheres is negligible, and the impact is perfectly elastic e = 1, determine: the velocity of the centre of mass, and the angular velocity, of each sphere immediately after impact the acceleration of the centre of mass, and the angular acceleration, of each sphere immediately after impact the angular velocity of each sphere after it has started rolling uniformly
Sphere A with mass m and radius r rolls without slipping with speed v1 on a horizontal surface when it hits an identical sphere B that is at rest. If the coefficient of friction between the spheres and the surface is μ, the friction between spheres is negligible, and the impact is perfectly elastic e = 1, determine:
the velocity of the centre of mass, and the angular velocity, of each sphere immediately after impact
the acceleration of the centre of mass, and the angular acceleration, of each sphere immediately after impact
the angular velocity of each sphere after it has started rolling uniformly
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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