mechanics

A block of 50 kg mass is on an inclined plane. The block is connected to another hanging mass M by an inextensible massless string through two massless pulleys as shown in the figu...

A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?

Which of the following beam(s) is/are statically indeterminate?

The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?

A beam of length L is loaded in the xy -plane by a uniformly distributed load, and by a concentrated tip load parallel to the z -axis, as shown in the figure. The resulting bending...

The area moment of inertia about the y-axis of a linearly tapered section shown in the figure is ________ m^4. (Answer in integer)

Two smooth identical spheres each of radius 125 mm and weight 100 N rest in a horizontal channel having vertical walls. The distance between vertical walls of the channel is 400 mm...

A block of negligible mass rests on a surface that is inclined at 30° to the horizontal plane as shown in the figure. When a vertical force of 900 N and a horizontal force of 750 N...

A block of mass 10 kg rests on a horizontal floor. The acceleration due to gravity is 9.81 m/s². The coefficient of static friction between the floor and the block is 0.2. A horizo...

A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = t^2, θ(t) = t, where t is time. The kinetic energy of the particle at time t...

A ball is dropped from rest from a height of 1 m in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring the curved porti...

The state of stress at a point, for a body in plane stress, is shown in the figure below. If the minimum principal stress is 10 kPa, then the normal stress $\sigma_y$ (in kPa) is

A rigid rod of length 1 m is resting at an angle $\theta = 45^\circ$ as shown in the figure. The end P is dragged with a velocity of $U = 5$ m/s to the right. At the instant shown,...