Question

A box of mass m is placed on an incline with an angle of inclination 30°. The box does not slide. The magnitude of the frictional force, in this case, is:a. mg cos 30b. not given.c. ma sin 30d. mg sin 30

Answer 1

Step-by-step explanation:

The box does not slide, therefore the frictional force balances the component of the weight of the box parallel to the incline.

The weight of the box is given by mg, where g is the acceleration due to gravity.

The component of the weight parallel to the incline is mg sin 30°.

Therefore, the magnitude of the frictional force is mg sin 30°, which is option (d).