Oscillations and SHM
The restoring force of a spring equals -kx by this law.
Hooke's Law
The force that keeps an object in circular motion points this direction.
Towards the center (centripetal)
Pressure equals force divided by this.
Area
An object moves as if all mass were concentrated at this point.
Center of mass
An object in equilibrium has zero net force and zero net ______.
Torque
The period of a mass–spring oscillator depends on mass and this constant.
Spring constant, k
The speed in uniform circular motion is constant, but this is not.
Velocity direction
This law states that pressure applied to a fluid is transmitted undiminished.
Pascal's Law
The total external force on a system affects only this motion.
Center-of-mass motion
The unit of torque.
Newton–meters (N·m)
For SHM, acceleration is proportional to displacement and points this direction.
Toward equilibrium
The acceleration of an object moving in a circle of radius r with speed v.
v2/r
According to Bernoulli’s principle, fluid speed increases when this decreases.
Pressure
For two masses, the center of mass lies closer to the one with this property.
Larger mass
Increasing lever arm distance increases torque linearly, exponentially, logarithmically, or exponentially.
Linearly (directly proportional)
The maximum speed of a simple harmonic oscillator occurs when x= this.
x = 0, the equilibrium point.
On a banked curve with no friction, the horizontal component of this force provides centripetal acceleration.
The normal force
Buoyant force equals the weight of this.
The displaced fluid
Internal forces cannot change this quantity of a system.
Total momentum
A ladder leaning on a wall requires friction at this contact point.
The floor (bottom contact)
State the general energy condition that determines whether motion is harmonic in a potential.
The potential must be approximately quadratic near equilibrium (parabolic well).
In a rotating reference frame, this “fictitious” outward force is introduced to explain circular motion.
Centrifugal force
Continuity equation states that A1v1=A2v2 when this quantity is conserved.
Mass Flow Rate
State the general definition of center of mass using a summation.
RCM=∑mi/∑miri
State the condition for a rigid body to be in stable equilibrium.
Net force = 0 and net torque = 0 and the potential energy has a minimum (local minimum of U)