Question Answers

A uniform triangular plate ABCof 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 [...]

Two identical uniform discs of mass m and radius r are arranged as shown in the figure. If α is the angular acceleration of the lower disc and a cm ​ is acceleration of centre of mass of the lower disc, then relation among a cm , α and r is A rod of length [...]

Figure shows an arrangement of masses hanging from a ceiling. In equilibrium, each rod is horizontal, has negligible mass and extends three times as far to the right of the wire supporting it as to the left. If mass m4 is 48 kg then mass m1 is equal to each rod is horizontal Figure shows [...]

A uniform thin rod is bent in the form of closed loop ABCDEFA as shown in fig. The ratio of moment of inertia of the loop about x-axis to that about y-axis is A uniform thin rod is bent in the form of closed loop ABCDEFA as shown in fig. The ratio of moment of [...]

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 [...]

A rod of length L is held vertically on a smooth horizontal surface. The top end of the rod is given a gentle push. At at certain instant of time, when the rod makes an angle 37∘ with horizontal the velocity of COM of the rod of 2 m/s. The velocity of the end of [...]

A uniform rod of mass m and length l is fixed from point A, which is at a distance 4 l ​ from one end as shown in the figure. The rod is free to rotate in a vertical plane. The rod is released from the horizontal position. What is the reaction at the hinge, [...]

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 is hinged at end A. There is gravity downwards. What is the distance of the point from point B that has the same acceleration as the ball, immediately after release? [...]

A slender rod of mass m and length L is pivoted about a horizontal axis through one end and released from rest at an angle of 30∘ above the horizontal. The force exerted by the pivot on the rod at the instant when the rod passes through a horizontal position is a block of mass [...]

Two uniform boards, tied together with the help of a string, are balanced on a surface as shown in Fig. The coefficient of static friction between boards and surface is 0.5. The minimum value of θ, for which this type of arrangement is possible is are balanced on a surface as shown in Fig. The [...]