Torque and Moment of Inertia

The rotational equivalent to d (distance), v (velocity) and a (acceleration) are?

• m, m/s, m/s²
• θ, ω, α
• x, x/t, alphaα
• μ, Σ, τ

How do you get the maximum torque?

• longer lever arm and less force at an acute angle
• shorter lever arm and less force perpendicularly
• shorter lever arm and more force perpendicularly
• longer lever arm and more force perpendicularly

A solid  metal bar is at rest on a horizontal frictionless surface. It is free to rotate about a vertical axis at the left end. The figures show forces of different magnitudes that are exerted on the bar at different locations. In which case does the bar's angular speed about the axis increase at the fastest rate?

• A
• B
• C
• D

The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P?

• A

• B

• C

• D

1. Which of the following must be true for the system of two concentric massless pulleys and two masses shown in the picture for the system to be at equilibrium?

• m₁ = m₂

• m₁R₁ = m₂R₂

• m₁R₂ = m₂R₁

• m₁R₁² = m₂R₂²

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NGSS.HS-PS2-1

Two wheels are fixed to each other and are free to rotate about a frictionless axis through their concentric centers. Four forces are exerted tangentially to the wheels. The magnitude of the net torque is:

• zero

• FR

• 2FR

• 4FR

Where should another 4 N force be applied to place the block in an equilibrium state?

• 
• 
• 
• 

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NGSS.HS-PS2-1

Two wheels are fixed to each other and are free to rotate about a frictionless axis through their concentric centers. Four forces are exerted tangentially to the wheels. As a result of the net torque on the wheels, the wheels will rotate-

• clockwise

• counterclockwise

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NGSS.HS-PS2-1

Suppose you are designing an engineless car for a downhill coasting race.  What type of wheels would be the best?

• Solid disks.
• Hoops.
• Hollow cylinders.
• Diamond encrusted triangles.

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NGSS.HS-ETS1-3

Two uniform solid balls, one of radius R and mass M, the other of radius 2R and mass 8M, roll down a high incline. They start together from rest at the top of the incline. Which one will reach the bottom of the incline first?

• The small sphere arrives first.
• The large sphere arrives first.
• Both reach the bottom at the same time.

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NGSS.HS-PS2-1