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DAY 3 > Mechanics > Flashcards

Mechanics Flashcards

1
Q

Types of Quantities

A

Scalar and Vector

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2
Q

The type of physical quantities which have only magnitude.

A

Scalar Quantity

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3
Q

Examples of Scalar Quantities

A

Temperature, speed, distance, mass

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4
Q

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

A

Vector Quantity

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5
Q

Example of Vector Quantities

A

velocity, displacement, force, acceleration

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6
Q

What is the reference direction in N 30° E?

A

N

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7
Q

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

A

E

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8
Q

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

A

UPWARD

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9
Q

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

A

DOWNWARD

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10
Q

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

A

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

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11
Q

Moment

A

M = Fd

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12
Q

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

A

2 (parallel and perpendicular)

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13
Q

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

A

1 (perpendicular force)

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14
Q

Mass Moment of Inertia for Sphere

A

I = 2/5 (mr^2)

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15
Q

Mass Moment of Inertia for Cylinder

A

I = 1/2 (mr^2)

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16
Q

Mass Moment of Inertia for Thin Rod (centroidal axis)

A

I = 1/12 (mL^2)

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17
Q

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

A

I = 1/3 (mL^2)

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18
Q

Mass Moment of Inertia for Rectangular Plate

A

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

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19
Q

Parallel Axis Theorem for Mass Moment of Inertia

A

Ix = Ix̄ + md^2

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20
Q

Area Moment of Inertia for Ix

A

Ix = (bh^3)/12

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21
Q

Area Moment of Inertia for Iy

A

Iy = (b^3h)/12

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22
Q

Radius of Gyration

A

r = √ (Ix / A)
or
r = √ (Iy / A)

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22
Q

Parallel Axis Theorem for Area Moment of Inertia

A

Ix = Ix̄ + Ad^2

23
Q

Velocity

A

v = d/t

24
Q

Uniform Accelerated Motion
a, Vf, S-So

A

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

25
Q

Average Speed

A

S = total distance travelled / total time travelled

26
Q

Free Falling Body
Vf, h - ho

A

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

27
Q

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

A

Centripetal Force

28
Q

Centripetal Force Formula

A

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

29
Q

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

A

Centrifugal Force

30
Q

Uniform Angular Motion
α, σ,

A

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

31
Q

Relationship of Angular and Translational Motion

A

v = rw
s = rσ
a = rα

32
Q

Projectile Motion
Horizontal Part Formula

A

x = Vcosθt

33
Q

Projectile Motion
Vertical Part Formula

A

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

34
Q

Angle of Banking Formula

A

tan (θb + θf) = v^2/r

35
Q

Angle of Friction Formula

A

θf = tan^-1 (μ)

36
Q

Total Mechanical Energy Formula

A

TME = KE + PE

37
Q

Kinetic Energy Formula

A

KE = mv^2/2

38
Q

Potential Energy Formula

A

PE = mgh

39
Q

Work Formula

A

W = Fd

40
Q

_____ is the rate of doing work

A

Power

41
Q

Power Formula

A

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

42
Q

Force Formula

A

F = ma = m ΔV/t

43
Q

Impulse Formula

A

I = FΔt

44
Q

Momentum Formula

A

m1v1 + m2v2 = m1v1’ + m2v2’

45
Q

Pendulum (TME)

A

TME = KE +PE
KEmax = PEmax

46
Q

@ KEmax ; PEmin = _____

A

0

47
Q

@PEmax ; KEmin = ______

A

0

48
Q

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

A

Collision

49
Q

What are the three types of collision

A

Inelastic, Perfectly inelastic, Elastic

50
Q

A type of collision where KE is not conserved

A

Inelastic Collision

51
Q

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

A

Perfectly Inelastic Collision

52
Q

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

A

Elastic Collision

53
Q

Coefficient of Restitution Formula

A

e = √(hr/ho)

54
Q

Coefficient of Restitution of Inelastic Collision

A

0 < e < 1

55
Q

Coefficient of Restitution of Perfectly Elastic Collision

A

e = 1

56
Q

Coefficient of Restitution of Perfectly Inelastic Collision

A

e = 0

DAY 3 (3 decks)

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