$1$ Definitions and Formulations $(2$pts$)$

Define the following and write the mathematical formulations $($if applicable$).$ Provide examples

to explain your answers where necessary. Each of them are worth $0\mathrm{.}2$ pts $.$

$($i$)$ General equilibrium of forces. Illustrate with example of static box on an inclined plane.

$($ii$)$ Linear and Angular momentum, compare them.

$($iii$)$ Work done by a force, how is that a scalar product of two vectors?

$($iv$)$ Torque, how is that a vector product of two vectors?

$($v$)$ How to decide whether the torque acting on an object will cause its clockwise motion?

$($vi$)$ Difference between spark ignition and compression ignition engines.

$($vii$)$ Why do some cars have carburetors? What's their purpose?

$($viii$)$ Power and Efficiency.

$($ix$)$ Types of belts used for mechanical power transmission.

$($x$)$ How work could be converted to energy? Do they have same dimensions?