Struggling with Torque Problems?

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In summary, the window washer can stand on the scaffold with a force of 208 N acting at the center of mass, and the force at the front end is 675 N.
  • #1
hshphyss
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Can anyone help me with these problems? they are really stressing me out, thanx

1) The arm of a crane is 20.0 m long and makes an angle of 25.0° with the horizontal. Assume that the maximum load for the crane is limited by the amount of torque the load produces around the base of the arm.
What is the maximum torque the crane can withstand if the maximum load is 445 N?

I know that torque=fr sintheta, but this isn't as straight forward as it looks.

2.) A mechanic jacks up a car to an angle of 8.0° to change the front tires. The car is 3.20 m long and has a mass of 1160 kg. Its center of mass is located 1.12 m from the front end. The rear wheels are 0.40 m from the back end. Calculate the torque exerted by the car around the back wheels.

I know that to find the lever arm it's going to be cos8 2.4=-0.349. So then to find the torque it would be (870 kg)(9.8)(-0.349)=T The force would be the mass times 9.8 correct?


3.)A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 208 N and is 2.80 m long. What is the force each rope exerts on the scaffold when the 675 N worker stands 1.00 m from one end of the scaffold? (smaller force and larger force)
 
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  • #2
1) One is given the maximum load, from which one calculates the maximum torque. Using the load, which acts in the vertical, calculate the component of the load which is normal (perpendicular) to the boom.

2) Weight (force) of the car, W = mg, acts at the center of mass about the pivot point.

3) The force (or tension) on each rope can be determined by picking one end and calculating the sum of the moments about that end, which should add to zero, since the system is static. Also, the sum of the tensions must equal the suspended weight. Assume the weight of the scaffold acts at its center of mass.
 
  • #3
the angle that you take the sine of sweeps from the r_vector to the F_vector.
In prob#1, this is MORE than 25 degrees.

your calculator seems to be in radian mode in prob.#2,
and the center-of-mass is NOT 2.4m in front of the rear axle.
 

FAQ: Struggling with Torque Problems?

What is torque?

Torque is a measure of the rotational force applied to an object. It is the product of the applied force and the distance from the axis of rotation to the point where the force is applied.

What causes torque problems?

Torque problems are typically caused by an imbalance in the forces acting on an object. This could be due to a misalignment of the object, a difference in the strength of the forces, or a change in the direction of the forces.

How can torque problems be solved?

To solve torque problems, it is important to first identify the forces acting on the object and their respective magnitudes and directions. Then, using the principles of torque and equilibrium, the net torque on the object can be calculated and the object can be adjusted or balanced accordingly.

What are some real-life applications of torque?

Torque is a concept that is used in many different fields, including engineering, physics, and mechanics. Some common real-life applications of torque include the operation of machines and vehicles, the design of structures and buildings, and the functioning of human joints and muscles.

What are some tips for solving torque problems?

Some tips for solving torque problems include drawing a clear diagram of the object and the forces acting on it, using the correct units of measurement, and applying the principles of torque and equilibrium to set up and solve equations. It is also helpful to check your answer by performing a quick sanity check and making sure all units cancel out in the final calculation.

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