Answer:
M = 281.25 lb*ft
Explanation:
Given
W<em>man</em> = 150 lb
Weight per linear foot of the boat: q = 3 lb/ft
L = 15.00 m
M<em>max</em> = ?
Initially, we have to calculate the Buoyant Force per linear foot (due to the water exerts a uniform distributed load upward on the bottom of the boat):
∑ Fy = 0 (+↑) ⇒ q'*L - W - q*L = 0
⇒ q' = (W + q*L) / L
⇒ q' = (150 lb + 3 lb/ft*15 ft) / 15 ft
⇒ q' = 13 lb/ft (+↑)
The free body diagram of the boat is shown in the pic.
Then, we apply the following equation
q(x) = (13 - 3) = 10 (+↑)
V(x) = ∫q(x) dx = ∫10 dx = 10x (0 ≤ x ≤ 7.5)
M(x) = ∫10x dx = 5x² (0 ≤ x ≤ 7.5)
The maximum internal bending moment occurs when x = 7.5 ft
then
M(7.5) = 5(7.5)² = 281.25 lb*ft
Answer:
a)We know that acceleration a=dv/dt
So dv/dt=kt^2
dv=kt^2dt
Integrating we get
v(t)=kt^3/3+C
Puttin t=0
-8=C
Putting t=2
8=8k/3-8
k=48/8
k=6
Yes, they have to make certain sacrifices ! for many many benefits.
Answer:
5320.6 Pascal
Explanation:
Manometer is a pressure measuring device use to measure gas pressure .
Pressure difference in Manometer is a function of density,gravity and the height difference of the liquid.
Pressure difference = density x acceleration due to gravity x difference in height of liquid
Density of liquid = specific gravity of object x density of water.
Density of water = 997 kg/m^3
Specific gravity of liquid = 1.7
Density of liquid = 997 x 1.7 =1694.9kg/m^3
g= 9.81 m/s^2
h =320mm = 0.320m
Pressure difference = 1694.9 x 9.81 x 0.320 = 5320.6 Pascal
