Mechanics: Torque and Rotation

We have 14 ready-to-use problem sets on the topic of Rotation and Torque. The problems target your ability to use analyze a beam in terms of torque in order to determine the conditions for which it will and will not rotate.



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Problem Set RT1: Torque Produced by a Single Force
Calculate the torque produced by a single force at a set distance from a prescribed pivot point. The angle between the distance vector and force must be considered. Includes 6 problems.

 
 
Problem Set RT2: Torque Produced by One or More Forces
Calculate the torques produced by one or more forces at set distances from a prescribed pivot point. The angles between the distance vectors and forces must be considered. Also calculate the net torque. Includes 8 problems.

 
 
Problem Set RT3: Calculating Force to Produce Net Torque = 0, θ = 90˚
Calculate a force's magnitude that will create a Net Torque of 0 around a given point. The force makes an angle of 90˚ with the distance vector from the point. Includes 6 problems.

 
 
Problem Set RT4: Calculating Force to Produce Net Torque = 0, θ <90˚
Calculate a force's magnitude that will create a Net Torque of 0 around a given point. The force makes an angle other than 90˚ with the distance vector from the point. Includes 6 problems.

 
 
Problem Set RT5: Beam with mass; Produce Net Torque = 0, θ = 90˚
Calculate a force's magnitude that will create a Net Torque of 0 around a given point. The force makes an angle of 90˚ with the distance vector from the point. The weight of the beam needs to be considered. Includes 4 problems.

 
 
Problem Set RT6: Beam with mass; Produce Net Torque = 0, θ < 90˚
Calculate a force's magnitude that will create a Net Torque of 0 around a given point. The force makes an angle other than 90˚ with the distance vector from the point. The weight of the beam needs to be considered. Includes 6 problems.

 
 
Problem Set RT7: Resting Mass on Beam; Produce Net Torque = 0, θ = 90˚
Calculate a force's magnitude that will create a Net Torque of 0 around a given point. The force makes an angle of 90˚ with the distance vector from the point. The weight of the beam and supported mass need to be considered. Includes 6 problems.

 
 
Problem Set RT8: Resting Mass on Beam; Produce Net Torque = 0; θ <90˚
Calculate a force's magnitude that will create a Net Torque of 0 around a given point. The force makes an angle other than 90˚ with the distance vector from the point. The weight of the beam and supported mass need to be considered. Includes 6 problems.

 
 
Problem Set RT9: Mass on Beam with Fulcrum; Net Torque =0; θ =90˚
Calculate a force's magnitude that will create a Net Torque of 0 on a beam balanced on a fulcrum at the middle of the beam. The force makes an angle of 90˚ with the distance vector from the fulcrum. Includes 6 problems.

 
 
Problem Set RT10: Mass on Beam with Fulcrum; Net Torque =0; θ <90˚
Calculate a force's magnitude that will create a Net Torque of 0 on a beam balanced on a fulcrum at the middle of the beam. The force makes an angle other than 90˚ with the distance vector from the fulcrum. Includes 6 problems.

 
 
Problem Set RT11: Mass on Beam; moving Fulcrum; Net Torque =0; θ <90˚
Calculate a force's magnitude that will create a Net Torque of 0 on a beam balanced on a fulcrum other than the middle of the beam. The force makes an angle other than 90˚ with the distance vector from the fulcrum. Includes 6 problems.

 
 
Problem Set RT12: Angled Beams Supporting Hanging Mass
Calculate a tension's magnitude that will create a Net Torque of 0 on an angled beam that is supporting hanging masses. The mass of the beam needs to be considered. Includes 6 problems.

 
 
Problem Set RT13: Scaffold with Resting Masses
Calculate the tensions in 2 ropes that hold up a scaffold from above. Masses  sitting on the scaffold and the mass of the scaffold need to be considered. Includes 6 problems.

 
 
Problem Set RT14: Person on Structure in Equilibrium
Calculate various values for a person standing on a beam supported at one end by a pin joint and the other end by a rope. Calculate various values for a person on an angled ladder supported at one end by a vertical wall and the other end by friction with the floor. Includes 3 problems for the beam and 3 problems for the ladder.

 
 

 
 


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