Answer to Question #87617 in Mechanics | Relativity for Hayden Wheeler

Question

A 30 kg suitcase is being pulled by a strap with a force of 85N at an angle 15° from the floor. If the coefficient of static friction is 0.30, will the suitcase move? Why or why not?

Answer 1

A force of 85N at an angle 15° from the floor and friction force act on suitcase along the direction of movement.

$$Force: 85N \cos15°=82.10N$$

$$Friction force: \mu mg=0.3\times30 \times9.8=88.2 N$$

A suitcase will not move because 82.10N<88.2 N

Answer:

A suitcase will not move