Centripetal Force
This is the force responsible for allowing for centripetal force on a roller coaster.
Normal Force
This type of force provides centripetal acceleration required to keep planets in orbit around a star.
What is gravity / gravitational force?
The angular displacement when given displacement (x) and radius (r)
What is θ
The Unit of Torque
What is a N⋅M?
This is the unit of angular momentum.
what is (kg*m^2)/s
r in terms of Fc, Mass (m), and velocity (v)
What is (mv2)/(Fc)
√(GM/r)
What is orbital velocity?
If and object is rotating at 2 rads/s clockwise and receives an angular acceleration counterclockwise of .3 rads/s2, what would be the total angular displacement after 12 seconds?
2.4 radians
Two identical boards with negligible mass are different distances from the edge of a table, board A is distance d from the table, board B is distance 2d from the table, if both boards receive an identical force F at the edge of their boards jutting out from the table, the torque received by Board A is this much in comparison to board B
What is 1/2?
A figure skater pushes their arms out during a spin. This happens to their rotational speed.
what is decreases
A car is on a flat circular road. This force provides the necessary centripetal force to keep the car turning.
What is static friction (between the tires and the road)
The period of an orbit in years if the radius is 4Au.
What is 8 years?
If a ball rolls down a slope where there is negligible friction, what would the angular velocity be?
None. Nada. 0.
A uniform rod of length 2m and mass 4kg is pivoted on one end. What is its angular acceleration when released from rest in the horizontal position?
7.5 rad/s2
This condition is necessary for conservation of angular momentum in a system.
What is no external torques?
A ball swung in a vertical circle via a string has a maximum magnitude of tension in the string at this point.
what is the lowest point of the circle?
This law implies that orbital speed increases near the perihelion
What is Kepler’s Second Law?
If a torque of 8 Newton Meters is applied tangentially to a angularly stational hoop by the name of James Miller of 3 kg and .5 meters, what is the angular acceleration that the hoop receives?
10.66 radians/s2
On a horizontal 3 meter rod of negligible mass, there is a force F1 of 6N acting 2m from the pivot point, what would the magnitude of the force acting on the end of the rod so there the net torque is 0?
4N
A 12kg mass moves in circular motion, with radius 2.4 meters and velocity of 5 m/s. It is 20 meters above the ground. This value is its angular momentum about the center of mass.
What is 3 (kg*m^2)/s
This is the minimum height in terms of R that a roller coaster cart must start from in order to scale a loop of radius R.
What is 2.5R?
If a satellite is not placed in geosynchronous orbit, this is the shape will it trace in the sky.
What is a figure-eight pattern?
A pebble with negligible mass gets stuck inside the tire of a car with a diameter of .75 meters, if it travels for 30 meters as the car uniformly decelerates at 5m/s2 to stop before a light, what was the initial angular velocity of the car?
46 rads/s
An object with the moment of inertia 1/2mr2 with a mass 2 and radius 3 is spinning at 4 rads per second, what amount of torque applied tangentially to the spinning object would stop the object's spinning in 8 seconds?
4.5 Newton Meters
a ball of mass m moves at speed v horizontally strikes and sticks to the bottom of a rod previously at rest of mass M and length L. The rod (I = 1/3 ML^2) is pivoted at the top and is free to rotate vertically. This is the angular velocity of the system just after the collision (in terms of m, M, v, and L).
what is (mv)/(0.3ML + mL)