5 blocks connected together on an incline

In summary, the conversation discusses five blocks connected together, where two are on an incline and the other three are not. The question asks for the acceleration of the last block that is not on the incline. The solution involves breaking down the components into two separate parts, with a diagram provided for further understanding. The final solution is correct, but there may be a discrepancy in the direction of the force for blocks 1-3.
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Homework Statement


Five blocks are connected together, each with mass m. Two of the five blocks are on an incline of angle θ. What is the acceleration of the last block that is not on the incline. See attached diagram for further details.


Homework Equations



F = ma
F(grav) = mg sin(θ) (on an incline)

The Attempt at a Solution



Broke the componets down in 2 separate parts of those on incline and those off. Attached diagram with details. Not sure if my solution is correct.
 

Attachments

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  • #2
The result is correct, but I think F_t should point in the opposite direction for blocks 1-3.
 

1. How does the incline affect the movement of the 5 blocks?

The incline will cause the blocks to move downward due to the force of gravity. The steeper the incline, the faster the blocks will accelerate downward.

2. What is the relationship between the mass of the blocks and their movement on the incline?

The mass of the blocks will affect the force of gravity acting on them. The more massive the blocks, the greater the force of gravity and the faster they will accelerate down the incline.

3. Is friction a factor in the movement of the 5 blocks on the incline?

Yes, friction between the blocks and the incline will slow down their movement. The rougher the surface of the incline, the more friction there will be.

4. How does the angle of the incline affect the movement of the 5 blocks?

The angle of the incline will determine the steepness and thus the rate of acceleration of the blocks. A steeper incline will cause the blocks to accelerate faster, while a shallower incline will result in a slower acceleration.

5. What factors other than gravity and friction can affect the movement of the 5 blocks on the incline?

The surface of the incline, air resistance, and any external forces applied to the blocks can also impact their movement on the incline. Additionally, the shape and weight distribution of the blocks can play a role in their acceleration and velocity on the incline.

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