At what distance from the center does the center of gravity of a quadrant of a circle lie along its central radius (r)?

A system in which all the forces act at the same point is termed as:

The transmission of loads on a certain type of structure follows the path from stringers to floor beams and then to joints. Determine the type of structure.

The equation of motion of a body is given by s = 2t³ + 3t² + 7, where s is in meters and t is in seconds. Starting from rest, how far will the body travel in 2 seconds?

The deflection of a spring with 20 active turns under a load of 10 kN is 10 mm. The spring is then divided into two pieces, each with equal turns, and they are connected in series under a load of 20 kN. The deflection of this system is?

A ladder of uniform cross section having weight of 50 N is supported against a smooth vertical wall making an angle of 60° with it. The other end rests on a rough horizontal floor. The friction force that the floor exerts on the ladder is _____ N.

What does Newton's third law state for conservative forces?

A bullet is fired vertically upwards from a rifle with an initial velocity of 110 meters per second from the top of a 115 m high tower. Given that the acceleration due to gravity, g = 10 m/s², what is the velocity with which the bullet will strike the ground?

We have been given a car with a mass of 500 kg that is moving up an incline with an angle 'a' such that tan(a)=1/8. The horizontal distance from the top of the hill to the car's initial position is 100 m. Calculate the work done by gravity in getting the car to the top of the hill.

A helical spring, of negligible mass, is found to extend 0.25 mm under a mass of 1.5 kg. The spring is made to support a mass of 60 kg. The spring and the mass system is displaced vertically through 12.5 mm and released. Find the velocity of the mass when it is 5 mm below its rest position.