What is the torque on the tree from the truck?

In summary, the problem involves a man using a truck to create a tension of 800N on a rope tied to a tree trunk at a height of 3.00m. The magnitude of torque on the tree, with the base of the tree as the reference point, is 2280 Nm. The solution involves calculating the perpendicular distance on the tree trunk and using the sine of the angle to find the torque.
  • #1
throwerx
2
0
(APPLIED TORQUE) help!

Homework Statement



ok, I've spent a good amount of time on this bastard and can't get it, help..

Man ties one end of rope 8.00m long to bumper of his truck, which is 0.5m from ground, and the other end to a vertical tree trunk at a height of 3.00m. He uses truck to create a tension of 800N in the rope...

compute magnitude of torque on the tree due to the tension in the rope, with the base of the tree acting as the reference point.



The answer is 2280 Nm

Homework Equations


torque = F * r sin(theta)


The Attempt at a Solution



I figured this is a right triangle, took the difference of the height of the bumper and the tree, pythagorean theorem to get the distance of the other side, which I used as the radius, then tried some different ways of obtaining the angle for which the rope would be pulling.
 
Last edited:
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  • #2
nobody want to take a jab?
 
  • #3
The perpendicular distance on the tree trunk is 2.5 meters and the hypotenuse is 8 meters - this ratio gives you the sine of the angle.
 

FAQ: What is the torque on the tree from the truck?

What is torque and how does it relate to truck pulling trees?

Torque is a measure of the twisting force applied to an object. In the case of truck pulling a tree, the torque is the force being exerted by the truck's engine on the wheels to move the tree. The greater the torque, the more force the truck can exert on the tree.

How is torque calculated in a truck?

Torque is calculated by multiplying the amount of force being applied to the object (in this case, through the truck's engine) by the distance from the pivot point (in this case, the wheels) to the point where the force is being applied. This is known as the moment arm.

What factors affect the amount of torque a truck can produce?

The amount of torque a truck can produce is affected by several factors, including the engine's power, the gear ratio of the transmission, and the size and type of tires on the truck. The weight and condition of the truck also play a role in how much torque it can produce.

How do different types of trucks compare in terms of torque for pulling trees?

Different types of trucks can vary in terms of torque for pulling trees. Generally, larger and more powerful trucks, such as heavy-duty pickup trucks or semi-trucks, will have higher torque capabilities than smaller trucks, such as compact pickups or SUVs. However, modifications to the engine and transmission can also impact a truck's torque.

Is there a limit to how much torque a truck can produce when pulling a tree?

Yes, there is a limit to how much torque a truck can produce when pulling a tree. This limit is determined by the truck's engine, transmission, and tires. If the torque exceeds the truck's capabilities, it may result in damage to the vehicle or the tree. It is important to use caution and proper equipment when attempting to pull a tree with a truck.

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