| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Two gears are connected and the smaller gear drives the larger gear. The speed of rotation will __________ and the torque will __________.
increase, decrease |
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decrease, decrease |
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increase, increase |
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decrease, increase |
Connected gears of different numbers of teeth are used together to change the rotational speed and torque of the input force. If the smaller gear drives the larger gear, the speed of rotation will be reduced and the torque will increase. If the larger gear drives the smaller gear, the speed of rotation will increase and the torque will be reduced.
| 10 lbs. | |
| 2.5 lbs. | |
| 7.5 lbs. | |
| 1.25 lbs. |
To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.Solving for Rb, our missing value, and plugging in our variables yields:
Rb = \( \frac{R_ad_a}{d_b} \) = \( \frac{5 lbs. \times 1 ft.}{2 ft.} \) = \( \frac{5 ft⋅lb}{2 ft.} \) = 2.5 lbs.
A box is resting on a smooth floor. Static friction is present:
only if normal force is present |
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if the coefficient of friction is greater than one |
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at all times |
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when an attempt is made to move the box |
For any given surface, the coefficient of static friction is higher than the coefficient of kinetic friction. More force is required to initally get an object moving than is required to keep it moving. Additionally, static friction only arises in response to an attempt to move an object (overcome the normal force between it and the surface).
Collinear forces:
act in a common plane |
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pass through a common point |
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are unrelated to each other |
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act along the same line of action |
Collinear forces act along the same line of action, concurrent forces pass through a common point and coplanar forces act in a common plane.
Force of friction due to kinetic friction is __________ the force of friction due to static friction.
higher than |
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opposite |
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the same as |
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lower than |
The formula for force of friction (Ff) is the same whether kinetic or static friction applies: Ff = μFN. To distinguish between kinetic and static friction, μk and μs are often used in place of μ.