A block with mass on a wedge with mass.

In summary, the surfaces between a 9 kg block, a 15 kg wedge, and the horizontal plane are smooth and the acceleration of gravity is 9.8 m/s. When a block is released on the inclined plane, the force F needed to prevent the 9 kg block from moving up or down the plane can be calculated using the equation ƩF = ma, with F = m(a + gsinθ). Using this equation with the given values, the force F is equal to 147.6 N.
  • #1
Hawkeyes77
1
0

Homework Statement


The surfaces between a 9 kg block, the 15 kg
wedge and between the 15 kg wedge and the
horizontal plane are smooth (without friction).
The acceleration of gravity is 9.8 m/s.

A block is released on the inclined plane
(top side of the wedge).

What is the force F which must be exerted
on the 15 kg block in order that the 9 kg block
does not move up or down the plane?
Answer in units of N

Homework Equations



ƩF = ma

The Attempt at a Solution



I know that when you push something with an object on it with a force in a direction, the object will try to oppose that direction. I don't really know how to break it into vectors though.
 
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  • #2
This is what I'm thinking:ƩF = ma F = m(a + gsinθ) F = (9 kg)(9.8 m/s2 + 9.8 m/s2sin30°) F = 147.6 N
 

Related to A block with mass on a wedge with mass.

1. How does the mass of the block affect its motion on the wedge?

The mass of the block affects its motion on the wedge by changing the force of gravity acting on the block. A heavier block will experience a greater force of gravity, causing it to slide down the wedge at a faster rate.

2. What is the relationship between the angle of the wedge and the motion of the block?

The angle of the wedge affects the motion of the block by changing the direction of the force of gravity. As the angle of the wedge increases, the force of gravity acting on the block will be more perpendicular to the surface of the wedge, causing the block to slide down at a steeper angle.

3. How does the mass of the wedge affect the overall motion of the system?

The mass of the wedge does not have a direct effect on the motion of the system. However, a heavier wedge may require more force to move or lift, which could affect the motion of the block on top of it.

4. What is the role of friction in the motion of the block on the wedge?

Friction plays a crucial role in the motion of the block on the wedge. It is the force that opposes the motion of the block and causes it to come to a stop. Without friction, the block would continue to slide down the wedge without stopping.

5. Can the motion of the block on the wedge be affected by external forces?

Yes, the motion of the block on the wedge can be affected by external forces such as a push or a pull. These forces will alter the overall motion of the system and can change the speed or direction of the block's motion on the wedge.

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