```             VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES
q  sin q                  cosq      tan q
0o   0                      1         0
30o  12                      3 2       3 3
37o  35                     45        34
45o   2 2                    2 2       1
53o  45                     35        43
60o  3 2                    12          3
90o   1                      0         ¥
MECHANICS
a  =    acceleration             F    =   force                  f =  frequency
h  =    height                   I    =   rotational inertia     J =  impulse
K  =    kinetic energy           k    =   spring constant        l =  length
L  =    angular momentum         m    =   mass                   N =  normal force
P  =    power                    p    =   momentum               r =  radius or distance
r  =    position vector          T    =   period                 t =  time
U  =    potential energy         u    =   velocity or speed      W =  work done
x = position                     m = coefficient of friction     q = angle
t = torque                       w = angular speed               a = angular acceleration
v = v0 + at
J = ò F dt = Dp                  Pavg =
W
1                                                          Dt
x = x0 + v0 t + at 2                  p = mv
2                                                   P = F × v = F n cos q
v 2 = v0 2 + 2a ( x - x0 )            Ffric £ mN
1 2
K=     mv
å F = Fnet = ma                       W = ò F × dr                          2
dp                              W = F ×Dr = F Dr cos q                dW
F=                                                                     P=
dt                                                                     dt
dt
P = F ×v                             L = r  ́ p = Iw                            m
TS = 2p
DU g = mgh                                 1                                   k
K = I w2
v2                                   2                                   l
ac =       = w2 r                                                    TP = 2p
r                              w = w0 + at                               g
t = r  ́ F = r F sin q                                  1 2                   Gm1 m2 \$
q = q 0 + w0 t +    at          FG = -           r
p = mv                                                 2                        r2
J = F Dt = Dp                        FS = - kx                                Gm1 m2
UG = -
å t = t = Ia
net                       US =
1 2
kx
r
2
I = ò r dm = å mr
2              2
2p 1
T=        =
r = å mr / å m
cm                                        w      f
v = rw
44
```