$64.50
Further Mechanics
US$ 64.50
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Book Description
An A-Level text following on from Introducing Mechanics by the same authors. The two books cover all the requirements for Mechanics as part of a double-certificate Mathematics for any examination board. A clear text is supported by worked examples, exercises, and examination questions.
Table of Contents
- Front Cover
- Imprint
- Contents
- 1 Vectors I
- Specifying a vector
- Properties of vectors
- Describing space using vectors
- 2 Vectors II
- Vector product
- Scalar triple product
- Other geometrical uses of the vector product and the scalar triple product
- Vector equation of a curve
- Moments
- Equivalent force systems and equilibrium
- 3 Differential Equations
- Definitions and classification
- Forming differential equations
- First-order differential equations
- Separation of variables
- Homogeneous equations
- First-order linear equations
- Linear equations with constant coefficients
- The complementary function and the particular integral
- Second-order linear equations with constant coefficients
- Vector differential equations
- Simultaneous linear differential equations
- Numerical methods
- 4 General Motion in One Dimension
- Motion with variable mass
- Variable forces
- Examination Questions: Chapters 1 to 4
- 5 Impulses and ImpulsiVe Tensions
- Oblique impact
- Impulsive tensions
- 6 Oscillating Systems
- Damped oscillations
- Forced oscillations
- Investigation
- Resonance
- 7 Projectiles
- Projectiles on an inclined plane
- Air resistance
- 8 Motion of a Particle in a Plane
- Cartesian coordinates
- Polar resolutes of acceleration
- Motion under a central force
- Intrinsic coordinates
- Examination Questions: Chapters 5 to 8
- 9 Stability of Equilibrium
- Centre of mass
- Stability of equilibrium
- 10 Moment of Inertia
- Kinetic energy of rotation
- Moment of inertia
- Equation of rotational motion
- Angular momentum
- Uniform angular acceleration
- Calculating the moment of inertia
- Parallel and perpendicular axes theorems
- Radius of gyration
- Summary of standard results
- 11 Rotation about a Fixed Axis
- Total energy of a rotating body
- Work done by a couple
- Relationship between work and energy
- Compound pendulum
- Reaction at the axis
- Impulse and momentum
- Conservation of angular momentum
- 12 General Motion of a Rigid Body in Two Dimensions
- Particle model
- Translational and rotational motion of the lamina
- Angular momentum about a fixed point
- Kinetic energy
- Small oscillations of a system
- Examination Questions: Chapters 9 to 12
- Answers
- Index
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