Related InterviewSolutions

• A rod of mass M and length l is suspended freely from its endandit canoscillate in the vertical plane about the point of suspension. It is pulled to one side and then released. It passes through the equilibrium position withangular speed `omega` . What is the kinetic energy while passing through the mean position ?A. `Ml^(2)omega^(2)`B. `Ml^(2)omega^(2)//4`C. `Ml^(2)omega^(2)//6`D. `Ml^(2)omega^(2)//12`
• A small ball is suspended from a point O by a light thread of length l. Then the ball is drawn aside so that thread deviates through an angle `theta` from the vertical and set in motion in a horizontal direction at right angles to the vertical plane in which the thread is located. What is the initial velocity that has to be imparted to the ball so that it could deviate through the maximum angle `pi//2` in the process of motion?
• A uniform rod AB of mass M is placed in contact. with a second rod BC of mass m = M/2 on a horizontal smooth table at right angles to each other as shown in figure-5.141. Find the initial velocity of BC and kinetic energy generated in it ifan impulse 7 is imparted to
• A uniform rod of length `1 m` and mass `2 kg` is suspended. Calculate tension `T` (in `N`) in the string at the instant when the right string snaps `(g = 10 m//s^(2))`.
• AB and CD are two indential rods each of length L and mass M joined to from a cross. Find the M.L of the system about a bisector of the angel between the rods (XY): A. `(ML^(2))/(12)`B. `(ML^(2))/(6)`C. `(ML^(2))/(3)`D. `(4ML^(2))/(3)`
• A uniform rod of mass m and length l makes a constant angle `theta` with an axis of rotation which passes through one end of the rod. Its moment of inertia about this axis isA. `(ml^(2))/(3)`B. `(ml^(2))/(3) sin theta`C. `(ml^(2))/(3) sin^(2) theta`D. `(ml^(2))/(3) cos^(2) theta`
• The moment of inertia of cylinder of radius a, mass M and height h about an axis parallel to the axis of the cylinder and distance b from its centre is :A. `(1)/(2)M(a^(2)+2b^(2))`B. `(1)/(2)M(2a^(2)+b^(2))`C. `(1)/(2)M(a^(2)+b^(2))`D. `(1)/(2)M(a^(2)/(3)+(b^(2))/(12))`
• In the previous question the smallest kinetic energy at the bottom of the incline will be achieved byA. The solid sphereB. The hollow sphereC. The discD. All will achieve same kinetic energy
• A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on axis isA. VerticalB. Horizontal andskewwiththeaxisC. Horizontal andintersecting theaxisD. None ofthese.
• The moment of inertia of a uniform semicircularwire of mass M and radius r about a line perpendicular to the plane of the wire through the centre is :A. `Mr^(2)`B. `(1//2)(Mr^(2))`C. `1//4(Mr^(2))`D. `2//5(Mr^(2))`