The Bullet That Has Been Fired from a Gun Can Pierce a Target Due to Its

A pulley of diameter 20 cm is rotated with a rope. The tension in the rope is 75 N. The torque developed in the pulley is:

An object of mass 3 kg is thrown with a velocity of 12 m/s at an angle of 75° with the horizontal. Calculate the momentum of the object.

The sum of the magnitudes of two forces acting at a point is 16 N. If their resultant is normal to the smaller force and has a magnitude of 8 N, then the forces are:

The motion of a particle (distance in meters and time in seconds) is given by the equation s = 2t³ + 3t. Starting from t = 0, to attain a velocity of 9 m/s, the particle will have to travel a distance of:

A heavy prismatic bar AB is rotating at an angular speed of 6 rad/s. The mass center C of the bar moves upward at 120 m/s. Find the velocity of the topmost point A of the bar at this instant.

A 50 N block is placed on a surface with an inclination of 30°. The block is connected to a suspended pan with a weight of 30 N. The coefficient of static friction between the inclined surface and the block is:

A ball of mass m moving with initial velocity u₁ collides with another ball of mass m at rest with coefficient of restitution e and conservation of momentum. The ratio of velocities after the collision is given by

Consider the properties of an annular (ring-shaped) disc:

Mass = m

Inner radius = R

Outer radius = 2R

The disc rolls on a flat surface without slipping. If the velocity of the center of mass is v, the kinetic energy of the disc is:

A helical spring, of negligible mass, and which is found to extend 0.25 mm under a mass of 1.5 kg, is made to support a mass of 60 kg. The spring and the mass system is displaced vertically through 12.5 mm and released. Determine the frequency of natural vibration of the system.