- #1
Karol
- 1,380
- 22
Homework Statement
1) μM = μm
2) μM < μm
3) μM > μm
Homework Equations
Friction force: ##f=mg\mu##
The Attempt at a Solution
1) Both systems accelerate the same. case A:
$$F-(M+m)g\mu=(M+m)a$$
Case B:
$$F-(Mg+T\sin\alpha+mg-T\sin\alpha)\mu=(M+m)a$$
2)The acceleration is bigger since the net force available for accelerating is bigger. the left side of the inequality corresponds to A:
$$F-[(M\mu_M+m\mu_m)g+(\mu_M-\mu_m)T\sin\alpha>F-(M\mu_M+m\mu_m)g$$
3)The in verse of 2.