All I need is one more.
Thx!!
<333333
Answer:
1) A=282.6 mm
2)
3)T=0.42 sec
4)f= 2.24 Hz
Explanation:
Given that
V=3.5 m/s at x=150 mm ------------1
V=2.5 m/s at x=225 mm ------------2
Where x measured from mid position.
We know that velocity in simple harmonic given as

Where A is the amplitude and ω is the natural frequency of simple harmonic motion.
From equation 1 and 2
------3
--------4
Now by dividing equation 3 by 4


So A=0.2826 m
A=282.6 mm
Now by putting the values of A in the equation 3


ω=14.609 rad/s
Frequency
ω= 2πf
14.609= 2 x π x f
f= 2.24 Hz
Maximum acceleration



Time period T


T=0.42 sec
Answer:
(a) E = 0 N/C
(b) E = 0 N/C
(c) E = 7.78 x10^5 N/C
Explanation:
We are given a hollow sphere with following parameters:
Q = total charge on its surface = 23.6 μC = 23.6 x 10^-6 C
R = radius of sphere = 26.1 cm = 0.261 m
Permittivity of free space = ε0 = 8.85419 X 10−12 C²/Nm²
The formula for the electric field intensity is:
E = (1/4πεo)(Q/r²)
where, r = the distance from center of sphere where the intensity is to be found.
(a)
At the center of the sphere r = 0. Also, there is no charge inside the sphere to produce an electric field. Thus the electric field at center is zero.
<u>E = 0 N/C</u>
(b)
Since, the distance R/2 from center lies inside the sphere. Therefore, the intensity at that point will be zero, due to absence of charge inside the sphere (q = 0 C).
<u>E = 0 N/C</u>
(c)
Since, the distance of 52.2 cm is outside the circle. So, now we use the formula to calculate the Electric Field:
E = (1/4πεo)[(23.6 x 10^-6 C)/(0.522m)²]
<u>E = 7.78 x10^5 N/C</u>
Answer with Explanation:
By the equation or Torque we have

where
T is the torque applied on the shaft
is the polar moment of inertia of the shaft
is the shear stress developed at a distance 'r' from the center of the shaft
is the angle of twist of the shaft
'G' is the modulus of rigidity of the shaft
We know that for solid shaft 
For a hollow shaft 
Since the two shafts are subjected to same torque from the relation of Torque we have
1) For solid shaft

2) For hollow shaft we have

Comparing the above 2 relations we see

Similarly for angle of twist we can see

Part b)
Strength of solid shaft = 
Weight of solid shaft =
Strength per unit weight of solid shaft = 
Strength of hollow shaft = 
Weight of hollow shaft =
Strength per unit weight of hollow shaft = 
Thus 
Answer:
A) max factored load ( pv = 1.4 * 18 ) = 25.2 kips
B) max load factored load = ( Pa = 18 + 2 ) = 20 kips
Explanation:
service dead load = 18 kips
service live load = 2 kips
A) Determine the maximum factored load and controlling AISC load combination
max factored load ( pv = 1.4 * 18 ) = 25.2 kips
DL = 18 kips
LL = 2 kips
B) Determine the max load and controlling AISC load combination
max load factored load = ( Pa = 18 + 2 ) = 20 kips
attached below