the origin of the coordinate system. The torque about the point (1
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 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 [...]
A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity ω. another disc of the same dimensions but of mass M/4 is placed gently on the first disc coaxially. The angular velocity of the system now is
30
Oct
A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity ω. another disc of the same dimensions but of mass M/4 is placed gently on the first disc coaxially. The angular velocity [...]
A rigid horizontal smooth rod AB of mass 0.75 kg and length 40 cm can rotate freely ab put a fixed vertical vertical axis through the midpoint O. Two strings each of mass 1 kg initially at rest are placed at a distance of 10 cm from O on either side of the rod. The rod is set in rotation with an angular velocity of 30 radian per sec and when the rings reach the ends of the rod, the angular velocity in rad/sec is?
30
Oct
A rigid horizontal smooth rod AB of mass 0.75 kg and length 40 cm can rotate freely ab put a fixed vertical vertical axis through the midpoint O. Two strings each of mass 1 kg initially at rest are placed at a distance of 10 cm from O on either side of the rod. The [...]
A hollow cylinder of mass M and radius R is rotating about its axis of symmetry and a solid sphere of same mass and radius is rotating about an axis passing through its centre. If torques of equal magnitude are applied to them, then the ratio of angular accelerations produced is
30
Oct
A hollow cylinder of mass M and radius R is rotating about its axis of symmetry and a solid sphere of same mass and radius is rotating about an axis passing through its centre. If torques of equal magnitude are applied to them, then the ratio of angular accelerations produced is 1) is: A force [...]
A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? Assuming that there is no slipping.
30
Oct
A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? Assuming that there is no slipping. 1) is: A force of -F k acts on O the [...]
From a circular ring of mass M and radius R, an arc corresponding to a 90^∘ sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is k times MR^2. Then the value of k is
30
Oct
From a circular ring of mass M and radius R, an arc corresponding to a 90^∘ sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is k times MR^2. Then the value [...]