Mechanics-Non Linear Definitions I

Question 1

Gravity is: {Definition}

Answer 1

Gravity is a fundamental force of attraction between any two masses.

Question 2

Newton’s law of gravitation is: {Formula}

Answer 2

Newton’s law of gravitation is: F = Gm1m2/d2
[F: force, G: universal gravitational constant, m: mass, d: distance]

Question 3

Weight is: {Definition} & {Formula}

Answer 3

Weight is the force of gravity on an object w = mg
[w = weight, m = mass, G = acceleration due to gravity] [N]

Question 4

Moment of force is: {Definition}

Answer 4

Moment of force is: Force multiplied by perpendicular distance from the turning point [N m]

Question 5

Laws of equilibrium are: {Definition}

Answer 5

1. Vector sum of the forces in any direction is 0.
2. The sum of the moments about any point is 0.

Question 6

A lever is: {Definition}

Answer 6

A lever is any rigid body that is free to rotate about a fixed point called the fulcrum.

Question 7

Couple is: {Definition}

Answer 7

Couple is two parallel forces with the same magnitude acting in opposite directions that cause a turning effect only.

Question 8

Moment of couple (Torque) is: {Definition}

Answer 8

Moment of couple (Torque) is: force of each parallel force multiplied by the distance between the parallel forces. [N m]

Question 9

Hooke’s law is: {Definition}

Answer 9

Hooke’s law is: Restoring force is proportional to the displacement.

Question 10

Simple harmonic motion is: {Formula}

Answer 10

Simple harmonic motion is: a = -w^2 s
[a: acceleration, w: constant, s: displacement]

Question 11

Centripetal acceleration is: {Formula} & ~ {Definition}

Answer 11

Centripetal acceleration is: a = v^2/r.
It is required to maintain uniform motion in a circle.
[a = acceleration towards the center of the circle, v = velocity, r = radius,] [m/s^2]

Question 12

Centripetal force is: {Formula} & ~ {Definition}

Answer 12

Centripetal force is: F = mv^2/r.
It is required to maintain uniform motion in a circle.
[F = forced towards the center of the circle, m = mass, v = velocity, r = radius] [N]

Question 13

Angular velocity is: {Formula}

Answer 13

Angular velocity is: w = O/t
[w = angular velocity, O = angle, t = time] [rad/s]

Question 14

Periodic time is: {Formula}

Answer 14

Periodic time is: T = 2π/w
[T = periodic time, w = angular velocity]

Question 15

Angular displacement is: {Formula}

Answer 15

Angular displacement is: O = s/r
[O = angle subtended in radians, s = displacement, r = radius]