## Equilibrium of bodies connected by cord and pulley – application of Newton’s first law problems and solutions

1. A box of mass 5 kg is on an inclined plane at an angle 30o. The box supported by a cord. Determine the tension force (T) and the normal force (N)! Solution ∑Fx = 0 T – w...

## Particles in two-dimensional equilibrium – application of Newton’s first law problems and solutions

1. Find the tension force T1, T2, and T3. Ignore cord’s mass. Solution (a) Free-body diagram for object (b) Free-body diagram for cord Apply the Newton’s first law on the object : ΣFy = 0 T1 – w =...

## Particles in the one-dimensional equilibrium – application of the Newton’s first law problems and solutions

1. Mass of an object, m = 10 kg, supported by a cord. Find the tension in the cord! g = 10 m/s2 Known : Mass (m) = 10 kg Acceleration due to gravity (g) = 10 m/s2 Wanted...

## Bodies connected by the cord and pulley – application of Newton’s law of motion problems and solutions

1. Two boxes are connected by a cord running over a pulley. Ignore the mass of the cord and pulley and any friction in the pulley. Mass of the box 1 = 2 kg, mass of the box 2...

## Application of the Newton’s law of the motion in an elevator – problems and solutions

1. A 50-kg person in an elevator. Acceleration due to gravity = 10 m/s2. Determine the normal force exerted on the object by the elevator, if : (a) the elevator is at rest (b) the elevator is moving downward...

## Motion on the rough inclined plane with the friction force – application of Newton’s law of motion problems and solutions

1. Object’s mass = 2 kg, acceleration due to gravity = 9.8 m/s2, coefficient of the static friction = 0.2, coefficient of the kinetic friction = 0.1. Is the object at rest or accelerating? If the object is accelerated,...

## Motion on the inclined plane without the friction force – application of Newton’s law of motion problems and solutions

1. Box’s mass = 2 kg, acceleration due to gravity = 9.8 m/s2. Find (a) the net force which accelerates the box downward (b) magnitude of the box’s acceleration. Solution Known : Mass (m) = 2 kg Acceleration due...

## Motion of two bodies with the same accelerations on the rough horizontal surface with the friction force – problems and solutions

1. Mass of the box 1 is 2 kg, the mass of the box 2 is 4 kg, acceleration of gravity is 10 m/s2, the magnitude of the force F is 40 Newton. The coefficient of the kinetic friction...

## Motion on the horizontal surface without the friction force – application of Newton’s law of motion problems and solutions

1. Mass of the object 1 is 2 kg, the mass of the object 2 is 4 kg, acceleration of gravity is 10 m/s2, the magnitude of the force F is 12 Newton. Determine the magnitude and direction of...

## Force of the static and the kinetic friction – problems and solutions

Solved problems in Newton’s laws of motion – Force of the static and the kinetic friction 1. An object rests on a horizontal floor. The coefficient static friction is 0.4 and acceleration of gravity is 9.8 m/s2. Determine (a)...