Homework Statement
If a delicate istrument havng a mas of 5 kg is placed on a springof length L so tha its base just touches the undeformed spring and then inadvertly released from the position, determine the maximum deflection xm of the spring assuming (a) linear spring constant k=3000N/m...
For 11.28 I am not sure if I understand what you mean? I derived V using the relationship to a, which is a=V*dV/dx. making it V=a*dx/dV.
for 11.25 the actual question is determine the postion of the particle when V=6m/s
Homework Statement
11.28 I have to solve acceleration given the equation for acceleration given the intial velocity=3.6 m/s, and the V equation V=.18V0/x
11.25 I have to find the distance it travels using the information in the picture below
Homework Equations
The Attempt at a Solution
I am stuck again, I solved the right side of the equation you created and got .6s. But on the left side i solved by substitution. Where u=1-kV du=k dV so the left side becomes...
(1/k)ln(1-kV) over the intgral of V0=0 V1=4 m/s ...after everything cancels i have...
Homework Statement
The acceleration of a particle is defined by the relation a=0.4(1-kV), where k is a constant. Knowing t=0 the particle starts from rest at x=4m and that when t=15s, V=4 m/s, determine...
a)the constant k
b)the postion when V=6m/s
c) the maximum velocity of the particle...
Homework Statement
The acceleration of a particle is directl porportional to the square of the time t. When t=0s, and the particle is at x=24m. Knowing that at t=6s, x=96m, and V=18m/s, express x and v in terms of t.
Homework Equations
a=t2
The Attempt at a Solution
so i...
I have a better understanding now I believe is this the correct value for P and W...
P=width*specfic weight*hieght*height*(1/2)
=.5m*(9800N/m^3)*.93 m* .93m *.5m=2119.005 N
W=(area of triangle+area of rectangle)*9800
=(.5*.64*.48)+(.64*.45)=.4416*9800=4327.68 N
Homework Statement
A 0.5 x 0.8m gate AB is located at the bottomof a ank filled with water. The gate is hinged along its top edge A and rests on a frictionless stop at B. Determine the reactions at A and B when cable BCD is slack.
Homework Equations
Fx=0
Fy=0
The Attempt at a...