I have tried to set up this problem but would like some feedback.
I want to set my vector diagram with the origin placed at the hinge point, with y+ upwards and x+ going to the right.
\sum \tau=0
T(3/4)sin20 - 98N(1/2)sin50 - 490(1)sin50 = 0
T(3/4)sin20 = 412.8979548
T = 188.29 N...
I have worked the problem two different ways, the first placing the origin for the x coordinate on the left side of the base, and the second, placing the origin at the right corner of the base.
In the first problem I would set my equation equal to two, in the second I set it equal to zero...
What do I already know?
m1 (base) = 2000 kg.
x1 = 1 m
m2 (boom) = 200 kg.
x2 = L/2 + 1m
= (6xcos70)/2 + 1 = 2.026 (I do not know if this is right?)
m3 (weight of ball) = ?
x3 = length of boom (2.052m + 1m) = 3.05 (Am I right?)
SumCMx = (m1x1 + m2x2 + m3x3)/ m1 + m2 + m3
This is where I am...
Vo = 25 m/s
Please look over my solution to see if I am right.
h = 28 m
I = 2/5mr^2
w (omega) = v/r initital
wfinal = vfinal/r
Conservation of energy
1/2mvo^2 + 1/2Iw1^2 = mgh + 1/2mvfinal^2 + 1/2Iwfinal^2
This is equation one.
2 unknowns w (omega) and Vfinal
Rolling w/o slipping means...
Homework Statement
A solid, uniform spherical ball rolls without slipping up a hill. At the top of the hill it is moving horizontally, and then it goes over a vertical cliff. How far from the foot of the cliff does the ball land, and how fast is it moving before it lands.
Use conservation...
Homework Statement
The metal pole has a mass of 10kg, and the load has a mass of 50kg. The rope is attached so that it is ¼ of the pole’s length from the free end of the pole. Find the tension in the rope and the force at the hinge.
Homework Equations
The Attempt at a Solution
Homework Statement
The figure above is a simple model of a crane. The base has a mass of 2000kg, and the boom has a mass of 200kg. What is the maximum mass of the ball if the crane is not to tip over? Note, in order for the crane to be stable, its center of mass cannot be outside the...