1) Choose the three "bridge" equations between translational quantities and rotational quantities from the list below. A. Δx = RΔθ B. vt = Rat C. at = Rα D. at = R/α E. ω = Rθ F. vt = Rω 2) Match the following angular velocity A.I, kg·m2 angular displacement B.Δθ angular acceleration C.½Iω2 moment of inertia D.α tangential velocity E.ΣΤ = Iα tangential acceleration F.Iω = mvR centripetal acceleration G.Rω arc length H.w rotational kinetic energy I.RΔθ angular momentum J.Rω2 Newton's 2nd Law of Rotation K.Rα 3) For a body to be in static equilibrium, what two equations must be solved together? A. mechanical energy = 0 and net force = 0 B. net torque = 0 and net work = 0 C. net force = 0 and net torque = 0 D. net work = 0 and net force = 0 4)From Newton's Law of Gravitation, the quantity Gmearth/Rearth2 is equal to what more common value (without units)? 5) Four children are sitting on a merry-go-round at different distances from the center (axis of rotation) indicated as A, B, C, and D locations with A being the closest to the center. Choose all the correct statements from the list below. A. For every rotation, the distance traveled by a child is 2πR, where R is the distance from the center. B. All children have a centripetal acceleration pointing towards the center. C. Child A is moving the fastest. D. All children have the same period, T. E. All children have a different angular velocity based on their distance from the center. F. All children have the same angular speed regardless of their distance from the center. G. Child D is moving the fastest tangentially since he/she is the farthest from the center. 6) Which of the three conservation laws (Mass, Energy, Momentum) DOESN'T apply to rotational motion. A. Conservation of Energy B. NONE. They all apply or they wouldn't be called "Laws". C. Conservation of Momentum D. Conservation of Mass 7) Which of the following is not correct when describing moment of inertia? A. distribution of mass B. resistance to rotational motion (spin) C. shape of object doesn't matter D. calculated as a constant times "mR2" 8) A "machine" is defined as a device that changes the amount of _________. A. work B. energy C. force D. momentum 9) For the calculation of eccentricity of an elliptical orbit, e = c/a, c is the distance from center to focus. The distance a is accurately described as A. 1/2( focus to focus) B. focus to one end of minor axis C. center to one end of minor axis D. center to perigee 10) If a round object (sphere, cylinder, hoop, etc.) is rolling across the floor (without slipping), the total kinetic energy is calculated as? 11) When a rope is wrapped around a wheel (or pulley) and pulled, the lever arm is the ________ . of the wheel and the angle between this and the force is ALWAYS ________ degrees.
1)
Choose the three "bridge" equations between translational quantities and rotational quantities from the list below.
| A. |
Δx = RΔθ |
|
| B. |
vt = Rat |
|
| C. |
at = Rα |
|
| D. |
at = R/α |
|
| E. |
ω = Rθ |
|
| F. |
vt = Rω |
2) Match the following
moment of inertia D.α
tangential velocity E.ΣΤ = Iα
tangential acceleration F.Iω = mvR
centripetal acceleration G.Rω
arc length H.w
rotational kinetic energy I.RΔθ
Newton's 2nd Law of Rotation K.Rα
3)
For a body to be in static equilibrium, what two equations must be solved together?
| A. |
mechanical energy = 0 and net force = 0 |
|
| B. |
net torque = 0 and net work = 0 |
|
| C. |
net force = 0 and net torque = 0 |
|
| D. |
net work = 0 and net force = 0 |
4)From Newton's Law of Gravitation, the quantity Gmearth/Rearth2 is equal to what more common value (without units)?
5)
Four children are sitting on a merry-go-round at different distances from the center (axis of rotation) indicated as A, B, C, and D locations with A being the closest to the center. Choose all the correct statements from the list below.
| A. |
For every rotation, the distance traveled by a child is 2πR, where R is the distance from the center. |
|
| B. |
All children have a centripetal acceleration pointing towards the center. |
|
| C. |
Child A is moving the fastest. |
|
| D. |
All children have the same period, T. |
|
| E. |
All children have a different angular velocity based on their distance from the center. |
|
| F. |
All children have the same angular speed regardless of their distance from the center. |
|
| G. |
Child D is moving the fastest tangentially since he/she is the farthest from the center. |
6)
Which of the three conservation laws (Mass, Energy, Momentum) DOESN'T apply to rotational motion.
| A. |
Conservation of Energy |
|
| B. |
NONE. They all apply or they wouldn't be called "Laws". |
|
| C. |
Conservation of Momentum |
|
| D. |
Conservation of Mass |
7)
Which of the following is not correct when describing moment of inertia?
| A. |
distribution of mass |
|
| B. |
resistance to rotational motion (spin) |
|
| C. |
shape of object doesn't matter |
|
| D. |
calculated as a constant times "mR2" |
8)
A "machine" is defined as a device that changes the amount of _________.
| A. |
work |
|
| B. |
energy |
|
| C. |
force |
|
| D. |
momentum |
9)
For the calculation of eccentricity of an elliptical orbit, e = c/a, c is the distance from center to focus. The distance a is accurately described as
| A. |
1/2( focus to focus) |
|
| B. |
focus to one end of minor axis |
|
| C. |
center to one end of minor axis |
|
| D. |
center to perigee |
10)
If a round object (sphere, cylinder, hoop, etc.) is rolling across the floor (without slipping), the total kinetic energy is calculated as?
11)
When a rope is wrapped around a wheel (or pulley) and pulled, the lever arm is the ________ . of the wheel and the angle between this and the force is ALWAYS ________ degrees.
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