MT1

Question 1

law of cosines

Answer 1

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

Question 2

area of a trapezoid

Answer 2

(h/2)(a+b)

Question 3

centroid of a trapezoid

Answer 3

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

Question 4

Volume of revolution x-axis

Answer 4

integrate pi*(function as x)^2

Question 5

Volume of revolution y-axis

Answer 5

integrate pi*(function as y)^2

Question 6

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

Answer 6

the change in the moment

Question 7

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

Answer 7

the shear

Question 8

derivative of the shear with respect to distance equals

Answer 8

load

Question 9

Volume of a cylinder

Answer 9

pir^2h

Question 10

exparabolic area

Answer 10

1/3ab

Question 11

xbar integration=

Answer 11

x tilda integral of dA / integral of dA

Question 12

x bar composite=

Answer 12

summation of x tilda times A / summation of A

Question 13

Theorems of Pappus & Guldinas S.A. =

Answer 13

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

Question 14

Theorems of Pappus & Guldinas V

Answer 14

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

Question 15

pressure=

Answer 15

rhogh

Question 16

force of fluid pressure=

Answer 16

volume of dl

Question 17

rho=

Answer 17

mass density (kg/m^3)

Question 18

gamma=

Answer 18

weight density (N/m^3)

Question 19

N=

Answer 19

kg*m/s^2

Question 20

Machines, right angled pieces are often

Answer 20

2-FM

Question 21

Force in a spring

Answer 21

k*deltax