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Flashcards in MT1 Deck (21)
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1
Q

law of cosines

A

c^2=a^2+b^2-2abcos(gamma)

2
Q

area of a trapezoid

A

(h/2)(a+b)

3
Q

centroid of a trapezoid

A

(h(2a+b))/(3(a+b))

4
Q

Volume of revolution x-axis

A

integrate pi*(function as x)^2

5
Q

Volume of revolution y-axis

A

integrate pi*(function as y)^2

6
Q

integral (sum) of the shear with respect to distance equals

A

the change in the moment

7
Q

derivative (rate of change) of the moment with respect to distance equals

A

the shear

8
Q

derivative of the shear with respect to distance equals

A

load

9
Q

Volume of a cylinder

A

pir^2h

10
Q

exparabolic area

A

1/3ab

11
Q

xbar integration=

A

x tilda integral of dA / integral of dA

12
Q

x bar composite=

A

summation of x tilda times A / summation of A

13
Q

Theorems of Pappus & Guldinas S.A. =

A

S.A. = Ltheta(2pi)rbar (distance from revolving axis)

14
Q

Theorems of Pappus & Guldinas V

A

V=Atheta(2pi)rbar (centroidal distance from revolving axis)

15
Q

pressure=

A

rhogh

16
Q

force of fluid pressure=

A

volume of dl

17
Q

rho=

A

mass density (kg/m^3)

18
Q

gamma=

A

weight density (N/m^3)

19
Q

N=

A

kg*m/s^2

20
Q

Machines, right angled pieces are often

A

2-FM

21
Q

Force in a spring

A

k*deltax