How High Does the Oil Drum Rise on the Sloping Plank?

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In summary, the problem involves a frictionless sloping plank that is 6m long, with an oil drum of 300N being raised up the plank by an effort of 15N. The height to which the oil drum rises is limited by the length of the plank, the angle, and the available force. The correct answer is option 4) 0.3m, with the angle of the plank being sin-1(1/20). An effort refers to a constant applied force measured in Newtons.
  • #1
Jahnavi
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Homework Statement



A frictionless sloping plank is 6m long .An oil
drum of 300N is raised up the sloping plank by an effort of 15N.Calculate the height to which the oil drum rises .
1) 2m
2) 7m
3) 3m
4) 0.3m

Homework Equations

The Attempt at a Solution



I am not able to interpret the problem correctly.I can do the problem if only I understand the statement given .

Is the sloping plank a fixed inclined plane on which we have to push an object upwards along the slope ?

What is an effort ? Is it a constant applied force?

Why should the height to which object rises be limited ?

Please help me understand the problem statement .
 
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  • #2
Jahnavi said:
Is the sloping plank a fixed inclined plane on which we have to push an object upwards along the slope ?

Yes

What is an effort ? Is it a constant applied force?

Yes the units are given as Newton's.

Why should the height to which object rises be limited ?

It's limited by the length of the plank, the angle and available force.
 
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That means angle of plank θ = sin-1(1/20) and option 4) is correct ?
 
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  • #4
Jahnavi said:
That means angle of plank θ = sin-1(1/20) and option 4) is correct ?
Yes.
 
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FAQ: How High Does the Oil Drum Rise on the Sloping Plank?

1. What is the object being raised up the plank?

The object being raised up the plank could be any physical item or material, such as a box, a ball, or even a person.

2. What force is being applied to the object to raise it up the plank?

The force being applied to the object to raise it up the plank is typically an upward force, such as pushing or pulling, exerted by a person or a machine.

3. How does the angle of the plank affect the movement of the object being raised?

The angle of the plank can affect the movement of the object being raised by changing the direction and magnitude of the force applied. A steeper angle may require more force to raise the object, while a shallower angle may allow for easier movement.

4. What other factors can influence the movement of the object being raised up the plank?

Other factors that can influence the movement of the object include the weight and shape of the object, the friction between the object and the plank, and any external forces acting on the object, such as wind or gravity.

5. How is the motion of the object affected as it reaches the top of the plank?

As the object reaches the top of the plank, its motion may change depending on the design of the plank. If the plank has a flat surface at the top, the object may continue moving in a straight line. However, if the plank has a curved surface, the object may roll or slide off the plank. Friction may also slow down the object's movement at the top of the plank.

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