Related InterviewSolutions

• From a circular disc of radius R and mass 9 M , a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is A. `4MR^(2)`B. `40/9MR^(2)`C. `10MR^(2)`D. `37/9MR^(2)`
• The moment of inertia of a uniform semicircular disc of mass `M` and radius `r` about a line perpendicular to the plane of the disc through the center isA. `Mr^(2)`B. `1/2Mr^(2)`C. `1/4Mr^(2)`D. `2/5Mr^(2)`
• A solid homogeneous sphere of mass `M` and radius `R` is moving on a rough horizontal surface partly rolling and partly sliding. During this kind of motion of the sphereA. Total kinetic energy is conservedB. Angular momentum of the sphere about the point of contact is conservedC. Only the rotational kinetic.energy about the center of mass is· conservedD. Angular momentum about the center of mass is conserved
• Moment of inertia `I` of a solid sphere about an axis parallel to a diameter and at a distance `x` from it varies as:A. B. C. D.
• `ABC` is a traiangular plate of uniform thickness. The sides are in the ratio shown in the figure. `I_(AB)`, `I_(BC)` and `I_(CA)` are the moments of inertia of the plate about `AB`, `BC` and `CA` repectively. Which one of the following relations is correct? A. `I_(CA)` is maximumB. `I_(AB)gtI_(BC)`C. `I_(BC)gtI_(AB)`D. `I_(AB)+I_(BC)=I_(CA)`
• A string wrapped around a cyliner of mass `m` and radius `R`. The end of the string is connected to block of same mass hanging vertically. No friction exists between the horizontal surface and cylinder. Acceleration of hanging mass is:A. `g`B. `g/2`C. `g/4`D. `(3g)/4`
• A string wrapped around a cyliner of mass `m` and radius `R`. The end of the string is connected to block of same mass hanging vertically. No friction exists between the horizontal surface and cylinder. Velocity of hanging block at this moment is:is:A. `sqrt(2piRg)`B. `sqrt(8piRg)`C. `sqrt((piRg)/2)`D. `sqrt(45piRg)`
• A string wrapped around a cylinder of mass `m` and radius `R`. The end of the string is connected to block of same mass hanging vertically. No friction exists between the horizontal surface and cylinder. Distance moved by hanging mass during the above time interval is:A. `2piR`B. `piR`C. `3piR`D. `(4piR)/3`
• A string of negligible thicknes is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance l from the cylinder holds one end of the sitting an pulls the cylinder towards him figure. There is no slipping anywhere. The length of the string passed through the hand of the man whicle the cylinder reaches his hands is A. `l`B. `2l`C. `3l`D. `4l`
• A solid cylinder of mass `m` rolls on a rough surface with velocity `v_(0)`. It collides elastically with a cubical block of same mass at rest. The centre of mass of both the bodies are at same height. Coefficient of friction between horizontal surface and cylinder as well as horizontal surface and cube is `mu`. No frictional exists between cylinder and cube. The cylinder collides the, cube at `t = 0`, then. Regarding frictional force acting on cylinder we can say that:A. before collision friction acts forwardB. before collision friction does not actC. after collision friction acts backwardsD. after collision friction does not act