Homework Statement
Show that the path line of a particle at point x currently, and point ξ at time τ is given by
ξ(τ) = x + (τ-t)Lx
Homework Equations
Pathline is solution to
dx/dt = u
x(t)|t=τ = X
L is the velocity gradient and is a 2nd order tensor Lij = dui/dxj
The Attempt at a...
Homework Statement
The aerodynamic drag of a new sports car is to be predicted at a
speed of 100 km/hr at air temperature of 25°C. Automotive engineers
build a ¼ scale model of the car to test in a wind tunnel, where the air
temperature is 10°C. A drag balance is used to measure the drag...
I think I understand both problems already, the area integral I did above had some mistakes(namely I took diameter instead of radius and didnt multiply by the jacobian).
For the second part I took the same double integral but this time multiplied by rcosθ to get the x-component of the...
Oh, its a shorthand term for freebody diagram.
A question, if I were to draw the FBD for the points at the edges it'd look like this
which doesn't really make sense since Tcosθ wouldn't equals T
It seems like I'm making some fundamental mistakes, forgive me if it looks stupid :shy:
Anyway...
-Wow thanks, didnt expect such a quick reply.
I don't understand what you mean by "let 1/2 of the total force act on both sides."
Do you mean drawing FBD of the 2 points at the edges of the crates?
-Right! Pressure is minimum at the northern side and maximum at the southern side.
So the total...
2 Questions about statics of rigid bodies
Homework Statement
A cable of length 8.5 m is attached to the two posts as shown in Fig. 6. The crate has a mass of 1000 kg. Find the x and y components of the forces exerted by the cable on the eyebolts and find the tension force in the cable.
The...
Homework Statement
Homework Equations
Vth = Isc * Rth
The Attempt at a Solution
I'm not sure what those triangles mean but I assume it means they belong to the same node so I redrew as such.
After that I found the Rth to be Rth = \frac{2R*R}{3R} + R = \frac{5}{3}R
Edit : I found Isc =...
Homework Statement
A projectile is fired with velocity v0 and passes through two points, both a distance h above the horizontal. The angle of the barrel of the gun is adjusted for the maximum range, find the horizontal separation of the two points.
Homework Equations
Max range for projectile...
Homework Statement
A girl 5 feet tall is running at the rate of 12 feet/second and
passes under a street light 20 feet above the ground. Find how
rapidly the length of her shadow is increasing when she is 20
feet past the base of the street light.
The Attempt at a Solution
I let the distance...
The third equation is S = V_{0x}t + \frac{1}{2}at^2
where S = distance, V0x = initial velocity a = constant acc. t = time, no final velocity needed.
Acceleration is constant therefore, velocity is changing throughout, the actual final velocity is not given in the question and can be...
Homework Statement
A roadway is designed for traffic moving at a speed of 28 m s . A curved section of the
roadway is a circular arc of 190 m radius. The roadway is banked so that a vehicle can go
around the curve with the lateral friction forces equal to zero
Homework Equations
F_C =...
I haven't got work experience so I might not be qualified to say this but I feel that if leaving this institute is really a no go as you said.
In my opinion. your best bet is to seem like a better person, by that I mean instead of comparing with your lazy colleague just suck it up and chalk it...
1000 Solved Problems in Classical Physics Ahmad A. Kamal.
Sorry for the confusion guys, think the question is wrong, not the first time in this book :\