On an inclined plane with an angle of inclination of 30 lies a load weighing 400 g. A load weighing 220 g

On an inclined plane with an angle of inclination of 30 lies a load weighing 400 g. A load weighing 220 g is attached with a thread thrown over the block. Determine the thread tension if the coefficient of friction of the bar is about …

We start the solution with a short note given:

a = 20 °;

k = 0.4.

To find:

F -?

We will consider the movement on an inclined surface to be uniform.

Let’s apply the equation of dynamics for moving up and down an inclined plane.

To move up:

F – m * g * sin a – k * m * g * cos a = 0;

F = m * g * (sin a – k * cos a).

Substitute values and perform calculations:

F = 300 * (0.34 + 0.376) = 214.8 N.

To move down:

F + m * g * sin a – k * m * g * cos a = 0;

F = m * g * (k * cos a – sin a);

F = 300 * (0.376 – 0.34) = 10.8 N.