Part 1
A disc is rolling on a rough horizontal surface with plank on it. No slipping takes place at any point of contact. if the kinetic energy of the plank is k, then what is the kinetic energy of the disc ? Both the disc and plank are of the same mass.
30
Oct
A disc is rolling on a rough horizontal surface with plank on it. No slipping takes place at any point of contact. if the kinetic energy of the plank is k, then what is the kinetic energy of the disc ? Both the disc and plank are of the same mass. A disc is rolling [...]
A uniform triangular plate `ABC of` moment of mass `m` and inertia `I` (about an axis passing through `A` and perpendicular to plane of the plate) can rotate freely in the vertical plane about point `’A’` as shown in figure. The plate is released from the position shown in the figure. Line `AB` is horizontal. The acceleration of centre of mass just after the release of plate is
30
Oct
A uniform triangular plate `ABC of` moment of mass `m` and inertia `I` (about an axis passing through `A` and perpendicular to plane of the plate) can rotate freely in the vertical plane about point `’A’` as shown in figure. The plate is released from the position shown in the figure. Line `AB` is horizontal. [...]
A uniform bar AB of mass m and a ball of the same mass are released from rest from the same horizontal position. The bar hinged at end A. There is gravity downwards. What is the distance of the point from point B that has the same acceleration as that of ball, immediately after release ?
30
Oct
A uniform bar AB of mass m and a ball of the same mass are released from rest from the same horizontal position. The bar hinged at end A. There is gravity downwards. What is the distance of the point from point B that has the same acceleration as that of ball, immediately after release [...]
A uniform rod of mass M and length L is pivoted at one end such that it can rotate in a vertical plane. There is negligible friction at the pivot. The free end of the rod is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle θ with the vertical is.
30
Oct
A uniform rod of mass M and length L is pivoted at one end such that it can rotate in a vertical plane. There is negligible friction at the pivot. The free end of the rod is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an [...]
A particle is attached to the lower end of a uniform rod which is hinged at its other end as shown in the figure. The minimum speed is given to the particles so that the rod performs a circular motion in a vertical plane will be : [ length of the rod is l, consider masses of both rod and particle to be the same]
30
Oct
A particle is attached to the lower end of a uniform rod which is hinged at its other end as shown in the figure. The minimum speed is given to the particles so that the rod performs a circular motion in a vertical plane will be : [ length of the rod is l, consider [...]
A uniform rod hinged at its one end is allowed to rotate in the vertical plane. Rod is given an angular velocity ω in its vertical position as shown in figure. The value of ω for which the force exerted by the hinge on rod is zero in this position is.
30
Oct
A uniform rod hinged at its one end is allowed to rotate in the vertical plane. Rod is given an angular velocity ω in its vertical position as shown in figure. The value of ω for which the force exerted by the hinge on rod is zero in this position is. 1) is: A force [...]
One end of a uniform rod of length l and mass m is hinged at A. It is released from rest from horizontal position AB as shown in figure. The force exerted by the rod on the hinge when it becomes vertical is
30
Oct
One end of a uniform rod of length l and mass m is hinged at A. It is released from rest from horizontal position AB as shown in figure. The force exerted by the rod on the hinge when it becomes vertical is 1) is: A force of -F k acts on O the origin [...]
A uniform square plate of mass ‘m’ is supported as shown. If the cable at B suddenly breaks, assuming centre of mass is on horizontal line passing through `A`. Find the angular acceleration of the plate.
30
Oct
A uniform square plate of mass ‘m’ is supported as shown. If the cable at B suddenly breaks, assuming centre of mass is on horizontal line passing through `A`. Find the angular acceleration of the plate. A uniform square plate of mass 'm' is supported as shown. If the cable at B suddenly breaks assuming [...]
A billiard ball at rest (mass M and radius R) is struck horizontally by a cue stick at distance one tenth of the diametre below the top of the ball. If P be the blow, find the initial kinetic energy of the ball.
30
Oct
A billiard ball at rest (mass M and radius R) is struck horizontally by a cue stick at distance one tenth of the diametre below the top of the ball. If P be the blow, find the initial kinetic energy of the ball. A billiard ball at rest (mass M and radius R) is struck [...]
A homogeneous disc with a radius r = 0.4 m and mass 5 kg rotates around an axis passing through its centre. The relation between angular velocity of the disc and time is given by w = a + bt where b = 4 rads^2. Find the tangential force applied to the rim of the disc.
30
Oct
A homogeneous disc with a radius r = 0.4 m and mass 5 kg rotates around an axis passing through its centre. The relation between angular velocity of the disc and time is given by w = a + bt where b = 4 rads^2. Find the tangential force applied to the rim of the [...]