Mechanics

Question 1

Types of Quantities

Answer 1

Scalar and Vector

Question 2

The type of physical quantities which have only magnitude.

Answer 2

Scalar Quantity

Question 3

Examples of Scalar Quantities

Answer 3

Temperature, speed, distance, mass

Question 4

The type of quantity that have two characteristics, a magnitude and a direction.

Answer 4

Vector Quantity

Question 5

Example of Vector Quantities

Answer 5

velocity, displacement, force, acceleration

Question 6

What is the reference direction in N 30° E?

Answer 6

N

Question 7

What is the reference direction in 30° N of E?

Answer 7

E

Question 8

What is the direction of the frictional force to determine the minimum force to prevent slipping? (box on a ramp)

Answer 8

UPWARD

Question 9

What is the direction of the frictional force to determine the maximum force that can be exerted without causing the block to slip?

Answer 9

DOWNWARD

Question 10

Belt Friction Formula
W, T1/T2, P and T

Answer 10

T1 + T2 = W
T1/T2 = e^(µθ)
P = 2πfT
T = ΔF r

T - tension
µ - coefficient of friction
θ - angle of lap
f - wheel speed, Hz, rev/s, cps
r - wheel radius
ΔF - ΔTension

Question 11

Moment

Answer 11

M = Fd

Question 12

Number of component (force) in a support pin or hinge

Answer 12

2 (parallel and perpendicular)

Question 13

Number of component (force) in a support roller or rocker

Answer 13

1 (perpendicular force)

Question 14

Mass Moment of Inertia for Sphere

Answer 14

I = 2/5 (mr^2)

Question 15

Mass Moment of Inertia for Cylinder

Answer 15

I = 1/2 (mr^2)

Question 16

Mass Moment of Inertia for Thin Rod (centroidal axis)

Answer 16

I = 1/12 (mL^2)

Question 17

Mass Moment of Inertia for Thin Rod (at one end)

Answer 17

I = 1/3 (mL^2)

Question 18

Mass Moment of Inertia for Rectangular Plate

Answer 18

I = m/12 (l^2 + w^2)

Question 19

Parallel Axis Theorem for Mass Moment of Inertia

Answer 19

Ix = Ix̄ + md^2

Question 20

Area Moment of Inertia for Ix

Answer 20

Ix = (bh^3)/12

Question 21

Area Moment of Inertia for Iy

Answer 21

Iy = (b^3h)/12

Question 22

Radius of Gyration

Answer 22

r = √ (Ix / A)
or
r = √ (Iy / A)

Question 22

Parallel Axis Theorem for Area Moment of Inertia

Answer 22

Ix = Ix̄ + Ad^2

Question 23

Velocity

Answer 23

v = d/t

Question 24

Uniform Accelerated Motion a, Vf, S-So

Answer 24

a = (Vf-Vi)/t Vf = Vi + at S - So = Vit + (at^2)/2 S - So = (Vf^2 - Vi^2)/2a

Question 25

Average Speed

Answer 25

S = total distance travelled / total time travelled

Question 26

Free Falling Body Vf, h - ho

Answer 26

Vf = Vi + gt h - ho = Vit + (gt^2)/2 h - ho = (Vf^2 - Vi^2)/2g

Question 27

_______ is the component of force acting on an object in curvilinear motion which is directed towards the axis of rotation or center of curvature.

Answer 27

Centripetal Force

Question 28

Centripetal Force Formula

Answer 28

Fc = mv^2/r a = v^2/r

Question 29

_______ is a pseudo force in a circular motion which acts along the radius and is directed away from the center of the circle.

Answer 29

Centrifugal Force

Question 30

Uniform Angular Motion α, σ,

Answer 30

α = (Wf - Wi)/t σ = Wit + (αt^2)/2 σ = (Wf^2 - Wi^2)/2α

Question 31

Relationship of Angular and Translational Motion

Answer 31

v = rw s = rσ a = rα

Question 32

Projectile Motion Horizontal Part Formula

Answer 32

x = Vcosθt

Question 33

Projectile Motion Vertical Part Formula

Answer 33

Vy' = Vy - gt = Vsinθ - gt y = Vsinθt - (gt^2)/2 y = (Vy'^2 - Vy^2)/2g

Question 34

Angle of Banking Formula

Answer 34

tan (θb + θf) = v^2/r

Question 35

Angle of Friction Formula

Answer 35

θf = tan^-1 (μ)

Question 36

Total Mechanical Energy Formula

Answer 36

TME = KE + PE

Question 37

Kinetic Energy Formula

Answer 37

KE = mv^2/2

Question 38

Potential Energy Formula

Answer 38

PE = mgh

Question 39

Work Formula

Answer 39

W = Fd

Question 40

_____ is the rate of doing work

Answer 40

Power

Question 41

Power Formula

Answer 41

P = W/t = Fd/t = mad/t * ad = (Vf^2 - Vi^2)/2 P = m/t [(Vf^2 - Vi^2)/2] P = Fd/t = Fv = mgv

Question 42

Force Formula

Answer 42

F = ma = m ΔV/t

Question 43

Impulse Formula

Answer 43

I = FΔt

Question 44

Momentum Formula

Answer 44

m1v1 + m2v2 = m1v1' + m2v2'

Question 45

Pendulum (TME)

Answer 45

TME = KE +PE KEmax = PEmax

Question 46

@ KEmax ; PEmin = _____

Answer 46

0

Question 47

@PEmax ; KEmin = ______

Answer 47

0

Question 48

The sudden, forceful coming together in direct contact of two bodies

Answer 48

Collision

Question 49

What are the three types of collision

Answer 49

Inelastic, Perfectly inelastic, Elastic

Question 50

A type of collision where KE is not conserved

Answer 50

Inelastic Collision

Question 51

A type of collision where the objects stick together; where KE is equal to zero after impact

Answer 51

Perfectly Inelastic Collision

Question 52

A type of collision where the total kinetic energy of the two bodies remains the same.

Answer 52

Elastic Collision

Question 53

Coefficient of Restitution Formula

Answer 53

e = √(hr/ho)

Question 54

Coefficient of Restitution of Inelastic Collision

Answer 54

0 < e < 1

Question 55

Coefficient of Restitution of Perfectly Elastic Collision

Answer 55

e = 1

Question 56

Coefficient of Restitution of Perfectly Inelastic Collision

Answer 56

e = 0