the kinetic frictional force. I the parallel force component of the big M along the inclined. M

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Chapter1: Units, Trigonometry. And Vectors
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### Physics Problem on Inclined Planes and Pulleys

Through a frictionless pulley, a two-body system is set up on an inclined surface with a kinetic frictional coefficient of 0.30. The big mass \( M \) is 8 kg, the small mass \( m \) is 3 kg, and the inclined surface is at an angle of 40 degrees.

#### Questions:
20. **Find the kinetic frictional force.**

21. **Find the parallel force component of the big mass \( M \) along the inclined plane.**

#### Diagram Explanation:
- A block of mass \( M \) is placed on an inclined plane.
- The inclined plane is at an angle \( \theta = 40^\circ \) with respect to the horizontal.
- Mass \( m \) hangs vertically, connected to mass \( M \) through a frictionless pulley.
- The force of gravity acts downwards on both masses.
- Friction acts opposite to the direction of potential movement along the plane.

This setup demonstrates basic principles of dynamics involving inclined planes, where friction and gravitational components play crucial roles in determining system behavior.
Transcribed Image Text:### Physics Problem on Inclined Planes and Pulleys Through a frictionless pulley, a two-body system is set up on an inclined surface with a kinetic frictional coefficient of 0.30. The big mass \( M \) is 8 kg, the small mass \( m \) is 3 kg, and the inclined surface is at an angle of 40 degrees. #### Questions: 20. **Find the kinetic frictional force.** 21. **Find the parallel force component of the big mass \( M \) along the inclined plane.** #### Diagram Explanation: - A block of mass \( M \) is placed on an inclined plane. - The inclined plane is at an angle \( \theta = 40^\circ \) with respect to the horizontal. - Mass \( m \) hangs vertically, connected to mass \( M \) through a frictionless pulley. - The force of gravity acts downwards on both masses. - Friction acts opposite to the direction of potential movement along the plane. This setup demonstrates basic principles of dynamics involving inclined planes, where friction and gravitational components play crucial roles in determining system behavior.
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Givenμk=0.30M=8 kgm=3 kgθ=40°

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