- #1
goodOrBad
- 25
- 2
- Homework Statement
- If given G find weight Q necessary for a uniform descent of G
- Relevant Equations
- Fx=0
Fy=0
This is my attempt of solving it
Block on a slope with a weight
In summary, there is a disagreement about the angle between the string and the face of block G, with one person arguing it is 20 degrees and another saying it looks more like 50 degrees. This leads to a discussion about the calculation of tension and the angle around the pulley. It is determined that without uniform descent, the proposed solution looks correct.
- #2
- 14,359
- 7,838
The angle between the string and the face of block G does not look like 20o to me. You will have to recalculate the components of the tension perpendicular and parallel to the incline.
- #3
goodOrBad
- 25
- 2
It is given as 20 but my drawing is not faithful
- #4
goodOrBad
- 25
- 2
it looks more like this
- #5
goodOrBad
- 25
- 2
or should the angle of T1 be 50 due to the slope being 30deg and the rope 20deg so 50deg
and that means angle around the pulley is 50+90=140deg
and that means angle around the pulley is 50+90=140deg
- #6
- 41,384
- 9,862
Yes.goodOrBad said:
But the block cannot descend uniformly since that angle will change.
- #7
goodOrBad
- 25
- 2
Okay but without the unfiorm descent would this be it
- #8
- 41,384
- 9,862
Looks right.
1. What is a "block on a slope with a weight"?
A "block on a slope with a weight" refers to a physical system where a block or object is placed on a slope or incline and has a weight acting on it due to gravity.
2. How does the angle of the slope affect the block's movement?
The angle of the slope plays a crucial role in determining the block's movement. A steeper slope will result in a greater gravitational force acting on the block, causing it to accelerate faster and slide down the slope at a higher speed. A shallower slope will result in a smaller gravitational force and slower movement.
3. What factors influence the friction between the block and the slope?
The friction between the block and the slope is influenced by several factors, including the roughness of the surface, the weight of the block, and the angle of the slope. A rougher surface will result in a higher frictional force, while a smoother surface will have a lower frictional force. A heavier block will also experience a greater frictional force, and a steeper slope will result in a higher frictional force due to the increased normal force.
4. How does the weight of the block affect its acceleration down the slope?
The weight of the block has a direct impact on its acceleration down the slope. The greater the weight of the block, the greater the force of gravity acting on it, resulting in a larger acceleration. This means that a heavier block will slide down the slope at a faster rate compared to a lighter block.
5. What is the role of the normal force in a block on a slope with a weight?
The normal force is the perpendicular force exerted by the slope on the block. It counteracts the force of gravity and is equal in magnitude but opposite in direction. The normal force also plays a crucial role in determining the amount of friction between the block and the slope, as it is directly proportional to the frictional force.
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