Mechanics Questions
"Proof" exercises

Motion
The Equations of Motion
Displacement against Time Graphs
Velocity against Time Graphs
The Acceleration due to Gravity (Acceleration of Free Fall)
Velocity against Time Graphs for a Falling Body
Newton’s Laws of Motion
Experimental Verification of Newton's Second Law of Motion
Using Newton’s Second Law of Motion

• Stationary or moving with constant velocity
• Accelerating upwards at 2 ms^-2
• Accelerating downwards at 9·8 ms^-2

Vector Addition
Resolving a Vector into two Perpendicular Components
Projectiles
Relative Speed and Velocity

Work, Energy and Power

Kinetic Energy
Potential Energy

• Gravitational Potential Energy
• Elastic Potential Energy

Universal Gravitation
Relation between the Acceleration due to Gravity and the Universal Constant of Gravitation
Acceleration due to Gravity on different Planets
Gravitational Field Strength
Gravitational Potential, V
Escape Velocity, v_e

Equilibrium of Forces

• Components of  Force
• Resolving a Force into Vertical and Horizontal Components
• The Moment of a Force (Torque)
• Conditions for the Equilibrium of Three Non-Parallel Forces

Friction

• Body in Equilibrium on a Horizontal Surface
• Body in Static Equilibrium on an Inclined Surface
• The Coefficients of Friction

Collisions

• Elastic collisions
• Non-elastic collisions
• Linear Momentum
• The Relation Between Force and Momentum
• Conservation of Linear Momentum
  Elastic Collisions: An Example

Circular Motion

• Body Moving in a Circular Path at Constant Speed
• Testing the Inverse Square Law of Gravitation
• Banking of a Road Surface
• Kepler's Laws of Planetary Motion
• Kepler’s Third Law of Planetary Motion
• Energy Changes in a Gravitational Field

Mechanical Oscillations

• The Relation between s.h.m. and Circular Motion
• The Relation between Displacement and Time for a body moving with s.h.m.
• The Relation between Velocity and Time for a body moving with s.h.m.
• Graphs Describing S.H.M. I
• Graphs Describing S.H.M. II
• Mass / Spring Oscillator
• The Simple Pendulum

Rotational Dynamics

• Factors which determine the Moment of Inertia of a body
• Comparing Linear and Rotational Dynamics
• The Moment of Inertia of a Point Mass
• Angular Momentum
• Angular Momentum of a Point Mass

© David Hoult 2008