Mechanics 2 and 3 Flashcards
Uniform Circular Motion +Torque+ Work and Energy
Is centripetal force a physical force?
No it is not, it is the result of the net physical force. it does not change speed and acts inward. Does not change speed
What are the two changes in speed:
Ac=(v^2)/r
Fc=(mv^2)/r
If a car is going around a circular turn of 12m , and the frictional coefff. is 0.3, wha is the maximum speed at which the car can take the turn?
What force is keeping you in the circle? Static Friction (remember rolling is static)
So what is the static friction in this problem?
(Us)(mg)=(mv^2)/r
cancel mass out
v=6
Centripetal force is another term for
net force that takes a “circular form”
In whole blood fractionation, in which blood is centrifuged to separate it into it’s component parts, how does distance d from the axis of rotation compare to centripetal force felt by an equal mass of plasma at distance d/2?
Ac=v^2/R
Fc=M(v^2)/R
make sure you account for change of radius on the change on the velocity.
After solving, you realize Fc is linearly related to distance from center. So 2 times greater radius=2 times greater force.
What is required to unscrew tight bolt?
Pull at at end of the lever,
proper angle
What is the formula for torque?
torque=rFsin (theta)
Is torque a vector?
Yes, but it’s easy to think of torque as rotation.
Torque is maximized when theta in sin(theta) is
90 degrees
If nothing is accelerating, net torque is:
zero
Two people are pushing on a 1m door, one is trying to open it, another is trying to close it. Guy opening is at 0.5 m, guy trying to close the door is at 1m. The door is motionless, so what force is the person trying to open door pushing?
you also have Force of wall against the guy opening the door in order to not have the door rip apart.
but since it is at the pivot, so the torque force is zero.
torque=r sin(theta) (Force)
rF (sin theta)=rF(sin theta)
(1)(50N)(1)=(0.5)(F)
F=100N
What is an alternate to the torque formula?
Torque=lF
l= shortest distance from the pivot to the line of action of force.
l=rsin(theta)
How do you keep track of two or more torques, how do you keep track of direction?
1) Locate the pivot
2) Then compare torques that at clockwise to those that act counterclockwise.
Ex) Suppose you go down a Sui Slide and your friend goes down a meandering slide, who gets to the bottom first?
Who is going fastest at the bottom?
Assume same initial height, final height, same initial speed.
Who is going fastest at the bottom?
What is the formula for Work?
work: Fdcos (theta)
Force must be constant and specified
units are newtons times meters =joules