ROTATION
SHM
CIRCULAR MOTION
MOMENTUM AND CM
PICK AND MIX
100
Ƭ = Iα
What is the relationship between torque and rotational inertia.
100
y = A Sin ωt
What's the relationship between displacement in SHM and time ?
100
ac = v2 /r
What's the formula for centripetal acceleration ?
100
D = (m1d1 + m2d2) / (m1 + m2)
What's the formula for the position of the CM between two bodies ?
100
Ek = 1/2 Iω2
What's the formula for rotational kinetic energy ?
200
Ɵ = ω t
What's the formula for angular displacement as a function of time and angular velocity ?
200
a = - ω2 y
What's the formula definition of SHM ?
200
Fc = N Sin Ɵ
What's the relationship between the centripetal force , normal force and angle for banked corner motion ?
200
ΡT = (m1 + m2) Vcm
What's the relationship between total momentum, velocity of CM and masses ?
200
mg = T Cos Ɵ
What's the relationship between the weight of the bob, tension and angle for conical pendulum ?
300
The sum of products of mass increments times square of distance from rotational axis
What's the definition of rotational inertia ?
300
velocity is a maximum and acceleration is a minimum and changing in direction
What is happening to velocity and acceleration in SHM at equilibrium point ?
300
R = GM/ v2
How does the radius of satellite motion vary with linear speed, and mass of orbited body ?
300
The system is closed
What's the assumption for conservation of momentum ?
300
The restoring force is the component of the weight force in the direction of the equilibrium point
What provides the restoring force for pendulum SHM ?
400
cylinder > solid sphere
Compare the rotational inertias of cylinder and solid sphere
400
Draw graph of displacement versus time for damped oscillations
400
T = 2πsqrt(r^3/(GM)
What's the formula for the period of satellite orbit as function of orbit radius and mass of orbitted body ?
400
eg Describe the path of CM for a diver
400
The satellite moves to a higher orbit
What happens if a satellite speeds up ?
or What happens if a satellite gains energy ?
500
It takes longer as its rotational inertia is greater and a greater proportion of rotational kinetic energy is generated at the expense of linear kinetic energy
Why does a cylinder (eg) take longer to roll down a ramp compared to a sphere (eg) ?
500
When external energy is input at the same frequency as that of the natural frequency of an oscillating system
What is resonance ?
500
Parabolic motion instead of circular motion
What occurs in vertical circular motion when the weight exceeds the centripetal force (or the speed is less than that required for circular motion) ?
500
the moving car had angular momentum relative to the stationary one even though the motion was linear
How does a car travelling linearly cause rotation during a collision (with a stationary car) ?
500
The centre of mass
(suitable definition)