Hey I'm just going over a past paper and I've lost the section of my notes RE this topic.
I understand how to draw the free body diagram when there is a pin involved, but not when it is connected at 4 points, the fact that they're at an angle is not helping.
Any help greatly appreciated...
A pendulum consists of a uniform thin rod of mass 5 kg and length 2 m to which is fixed a circular disc of mass 8 kg and radius 0.4 m. There is a pivot at one end.
(a) Find the CoM and Moment of Inertia when the disc is:
(i) half way along the rod;
(ii) at the opposite end of the rod to the...
A rod (mass M, length L) hinged at point X. End Y is attached to X by an elastic string passing over a pin P, the natural length of the string is L. P is a distance L from X.
Elastic Modulus of string: (1/4Mg)
Refer to GPE to X and prove that total PE is: (1/4)MgL(1-cosθ-2sinθ) and find...
Homework Statement
Water enters a pipe and goes through a bend with a contraction from 40mm to 25mm then into the atmosphere.
What is the horizontal force required to hold the pipe in place?
Homework Equations
I have either been given the following or have calculated them using the standard...
Help solving a second order ODE with repeated roots, urgent!
I have a differential equaition
d2y/dx2 - 6dy/dx + 9y = 0
I have found the general solution to be
y = (Ax + B)e3x
Now I need to find the solutions to A and B so that...
when y = 4, x = 0
when y = 49.e15, x = 5
I...
As part of a question on axial load I need to simplify two equations in terms of P ([1] and [2]).
http://img207.imageshack.us/img207/5757/77260215.png [Broken]
In the above you can see how FBA and FBC were simplified to 0.8081P and 0.7143P respectively.
I understand both the section...
Hi, I'm looking at a past paper for an exam I have on Tuesday and I'm struggling to understand this question on exact derivatives.
Here is a link to the question: http://imageshack.us/photo/my-images/812/questiong.png/
I have looked over my notes for guidance and eventually turned to the...
I have been asked to solve the differential equation:
cotan(x)\stackrel{dy}{dx} = y-1 ey2
Using substitution on the right hand side and by integrating tan(x) on the left hand side the answer I have got is:
ln|sec(x)| = - 0.5 e-y2 + C
Is the answer ok to leave in this form? It has...
Homework Statement
A, B, C and D are celebrating their joint birthdays and find
that their ages add up to exactly 100 years. The sum of A's and
D's ages equals the sum of B and C, while the difference between
the ages of A and D is twice C's age. Finally when D is as old
as A is now, C...
Thanks for the help, from what you've said I've gathered...
From a2+b(b-4i)+8i-15=0
0=0+0i
Therefore
From a2+b(b-4i)+8i-15=0+0i
a2-15=0
=> a = \sqrt{15}
b2-4b-8 = 0
b is solved with the quadratic?
Is this correct so far?
Homework Statement
Solve the equation \overline{y} (y - 2) = 2\overline{y} + 15 - 8i for complex number y
Homework Equations
\overline{y}y = a2 + b2
The Attempt at a Solution
a2+b2+8i-4ib-15=0
a2+b(b-4i)+8i-15=0
Pretty clueless where to go from here? Or if I've even gone in...
Homework Statement
A car is travelling at initial speed 5.5ms-1. The car is on a decline of 8o. The brakes are used and the car stops after travelling 10m along the road (with no skidding).
At the moment when kinetic energy is 51% lower than the initial value,
ﬁnd the corresponding...
Oops, the Solid is placed on top of the ice. The ice then melts and the final temperature of both the solid and the ice is 10. So basically I'm looking for the initial mass of the ice, before the rock was placed onto it.
Homework Statement
Find mi, the initial mass of ice.
Ti = -20
ci = 2093Jkg-1K-1
Ts = +35
ms = 2kg
cs = 837.4Jkg-1K-1
cw = 4187Jkg-1K-1
lf = 3.35x105Jkg-1
S = solid
W = water
I = ice
lf = latent heat of fusion of ice / water
Homework Equations
Q=mc\DeltaT
Q=C\DeltaT
Q=ml
The Attempt at a...
Hi, this is a question from a past paper, for which I have the exam on Monday. Please see the attachments.
Solutions
a) w = fx
=(20)(1.5-0.7)
=16J
b)PE=mgh
^PE=(.25)(10)(1.5)-(.25)(10)(.7)
PE=2J
c) ?
when i attempted a solution i used ^KE=^PE
this gave me an answer of v^2=30
I...