Concepts Of Physics MCQ Edition [Volume 1]PhysicsFriction
The friction coefficient between the two blocks shown in the figure is , while the floor is smooth. Determine the maximum horizontal force F that can be applied without disturbing the equilibrium of the system. Additionally, if the applied horizontal force is double this maximum value, find the magnitude of the accelerations of the two masses.
Options
- AMaximum force = mg , Acceleration = mg M + m
- BMaximum force = 2 mg , Acceleration = mg M + m
- CMaximum force = 2 mg , Acceleration = 2 mg M + m
- DMaximum force = mg , Acceleration = 2 mg M + m
Correct answer
C. Maximum force = 2 mg , Acceleration = 2 mg M + m
Step-by-step solution
Let T be the tension in the string and f be the frictional force between the two blocks. For the system to remain in equilibrium, both blocks must be at rest. Considering the forces on the upper block m in the horizontal direction, the applied force F acts to the left, while the tension T and static friction f act to the right. F = T + f Considering the forces on the lower block M in the horizontal direction, the tension T acts to the right, and the static friction f exerted by m acts to the left. T = f Substitutin