Part 1
A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its centre. A tortoise is sitting at the edge of the platform. Now the platform is given an angular velocity ω0 When the tortoise move along a chord of the platform with a constant velocity (with respect to the platform). The angular velocity of the platform ω(t) will vary with time t as
27
Nov
A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its centre. A tortoise is sitting at the edge of the platform. Now the platform is given an angular velocity ω0 When the tortoise move along a chord of the platform with a constant velocity (with respect to [...]
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which one of the following with not be affected ?
27
Nov
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which one of the following with not be affected ? A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which one of the following with not [...]
A small particle of mass m is projected at an angle q with the x-axis with an initial velocity v0 in the x−y plane as shown in the figure. At a time t< v0 sinθ/g, the angular momentum of the particle is where i^,j^ and k^ are unit vectors along x,y and z−axis respectively.
27
Nov
A small particle of mass m is projected at an angle q with the x-axis with an initial velocity v0 in the x−y plane as shown in the figure. At a time t< v0 sinθ/g, the angular momentum of the particle is where i^,j^ and k^ are unit vectors along x,y and z−axis respectively. A [...]
he line of action of the resultant of two like parallel forces shifts by one-third of the distance between the forces when the two forces are interchanged. The ratio of the two forces is
27
Nov
he line of action of the resultant of two like parallel forces shifts by one-third of the distance between the forces when the two forces are interchanged. The ratio of the two forces is he line of action of the resultant of two like parallel forces shifts by one-third of the distance between the forces [...]
The density of a rod gradually decreases from one end to the other. It is pivoted at an end so that it can move about a vertical axis through the pivot. A horizontal force F is applied on the free end in a direction perpendicular to the rod. The quantities, that do not depend on which end of the rod is pivoted, are :
27
Nov
The density of a rod gradually decreases from one end to the other. It is pivoted at an end so that it can move about a vertical axis through the pivot. A horizontal force F is applied on the free end in a direction perpendicular to the rod. The quantities, that do not depend on [...]
The moment of inertia of a body about a given axis is 1.2 kg m^2 . Initially the body is at rest. In order to produce a rotational kinetic energy of 1500 J, an angular acceleration of 25 rad/s^2 must be applied about that axis for a duration of
27
Nov
The moment of inertia of a body about a given axis is 1.2 kg m^2 . Initially the body is at rest. In order to produce a rotational kinetic energy of 1500 J, an angular acceleration of 25 rad/s^2 must be applied about that axis for a duration of an angular acceleration of 25 rad/s^2 [...]
A disc of mass m and radius R has a concentric hole of radius r. Its moment of inertia about an axis through its center and perpendicular to its plane is
27
Nov
A disc of mass m and radius R has a concentric hole of radius r. Its moment of inertia about an axis through its center and perpendicular to its plane is A disc of mass m and radius R has a concentric hole of radius r. Its moment of inertia about an axis through its [...]
A point p moves in counter – clockwise direction on a circular path as shown in the figure . The movement of ‘p’ is such that it sweeps out in the figure . The movement of ‘p’ is such that it sweeps out a length s=t3+5 , where s is in metres and t is in seconds . The radius of the path is 20m . The acceleration of ‘P’ when t=2s is nearly .
27
Nov
A point p moves in counter – clockwise direction on a circular path as shown in the figure . The movement of ‘p’ is such that it sweeps out in the figure . The movement of ‘p’ is such that it sweeps out a length s=t3+5 , where s is in metres and t is [...]
he 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 I1,I2,I3 and I4 are respectively moments of inertia about axes 1, 2, 3 and 4 which are in the plane of the plate
27
Nov
he 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 I1,I2,I3 and I4 are respectively moments of inertia about axes 1, 2, 3 and 4 which are in the plane of the plate 2 [...]
Let I be the moment of inertia, of a uniform square plate about an axis AB that passes through its center and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the center of the plate and makes an angle θ with AB as shown in the figure. The moment of inertia of the plate about the axis CD is then equal to
27
Nov
Let I be the moment of inertia, of a uniform square plate about an axis AB that passes through its center and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the center of the plate and makes an angle θ with AB as [...]