Worksheet
Torque: Rotational Equilibrium Problems
Printer Friendly Version
To simplify calculations, you may use g = 10 m/sec
2
.
Refer to the following information for the next five questions.
Two ropes, having tensions T
2
and T
3
, support a uniform 100-N beam and two weights. If the right weight has a mass of 25 kg and T
2
has a tension of 500 N, calculate the tension in T
3
as well as the mass of the unknown weight.
What equation places the system in vertical equilibrium?
What equation places the system in horizontal equilibrium?
What equation places the system in rotational equilibrium?
What is the value of T
3
?
What is the mass of the suspended block?
Refer to the following information for the next six questions.
A 75-kg block is suspended from the end of a uniform 100-N beam. If θ = 30º, what are the values of T
2
as well as the horizontal and vertical forces on the hinge?
What equation places the system in vertical equilibrium?
What equation places the system in horizontal equilibrium?
What equation places the system in rotational equilibrium?
What is the value of T
2
?
What is the magnitude of the vertical force on the hinge?
What is the magnitude of the horizontal force on the hinge?
Refer to the following information for the next six questions.
A 25-kg bag is suspended from the end of a uniform 100-N beam. If θ = 30º, what are the values of T
2
as well as the horizontal and vertical forces on the hinge?
What equation places the system in vertical equilibrium?
What equation places the system in horizontal equilibrium?
What equation places the system in rotational equilibrium?
What is the value of T
2
?
What is the magnitude of the vertical force on the hinge?
What is the magnitude of the horizontal force on the hinge?
Refer to the following information for the next six questions.
A 25-kg box is suspended 2/3
rd
of the way up a uniform 100-N beam. If θ = 37º, what are the values of T
1
as well as the horizontal and vertical forces on the hinge?
What equation places the system in vertical equilibrium?
What equation places the system in horizontal equilibrium?
What equation places the system in rotational equilibrium?
What is the value of T
1
?
What is the magnitude of the vertical force on the hinge?
What is the magnitude of the horizontal force on the hinge?
Refer to the following information for the next six questions.
A 2-meter, 3-kg ladder rests at an angle of θ = 37º on a rough floor and leans against a rough wall. If the coefficient of friction is µ = 0.4 on both surfaces, how far up the ladder can the 40-kg girl travel before it starts to slip?
Write an expression for the friction between the feet of the ladder and the floor.
Write an expression for the friction between the top of the ladder and the wall.
What equation places the system in vertical equilibrium?
What equation places the system in horizontal equilibrium?
What equation places the system in rotational equilibrium?
How far up along the ladder can she climb before the ladder starts to slip?
Refer to the following information for the next two questions.
The block is twice as high as it is wide. It is kept in place by a small wedge placed at its lower corner.
True or False.
As the board is raised, and the block just starts to tip, the block's weight vector will pass through the wedge.
True
False
At what value of θ will the block tip and begin to fall over the wedge?
Refer to the following information for the next two questions.
If the bowling ball weighs 24 N, what is the value of the normal exerted on each point of tangency? Each surface is frictionless.
On the left, 50º incline?
On the right, 40º incline?
Related Documents
Lab:
Labs -
A Physical Pendulum, The Parallel Axis Theorem and A Bit of Calculus
Labs -
Conservation of Momentum in Two-Dimensions
Labs -
Density of an Unknown Fluid
Labs -
Mass of a Paper Clip
Labs -
Moment of Inertia of a Bicycle Wheel
Labs -
Rotational Inertia
Resource Lesson:
RL -
A Chart of Common Moments of Inertia
RL -
A Further Look at Angular Momentum
RL -
Center of Mass
RL -
Centripetal Acceleration and Angular Motion
RL -
Discrete Masses: Center of Mass and Moment of Inertia
RL -
Hinged Board
RL -
Introduction to Angular Momentum
RL -
Rolling and Slipping
RL -
Rotary Motion
RL -
Rotational Dynamics: Pivoting Rods
RL -
Rotational Dynamics: Pulleys
RL -
Rotational Dynamics: Rolling Spheres/Cylinders
RL -
Rotational Equilibrium
RL -
Rotational Kinematics
RL -
Rotational Kinetic Energy
RL -
Thin Rods: Center of Mass
RL -
Thin Rods: Moment of Inertia
RL -
Torque: An Introduction
Worksheet:
APP -
The Baton Twirler
APP -
The See-Saw Scene
CP -
Center of Gravity
CP -
Torque Beams
CP -
Torque: Cams and Spools
NT -
Center of Gravity
NT -
Center of Gravity vs Torque
NT -
Falling Sticks
NT -
Rolling Cans
NT -
Rolling Spool
WS -
Moment Arms
WS -
Moments of Inertia and Angular Momentum
WS -
Practice: Uniform Circular Motion
WS -
Rotational Kinetic Energy
TB -
Basic Torque Problems
TB -
Center of Mass (Discrete Collections)
TB -
Moment of Inertia (Discrete Collections)
TB -
Rotational Kinematics
TB -
Rotational Kinematics #2
PhysicsLAB
Copyright © 1997-2024
Catharine H. Colwell
All rights reserved.
Application Programmer
Mark Acton