Alright so let's see now, if there is only PE at first then the equation would be:
PE = KE(block) + KE(Cylinder)
mgy = 1/2 m_b v^2 + 1/2 I_c omega^2
Am I getting there?
i don't understand what s and u represent?
Also, for mechanical energy I tried:
M=m1+m2 I = 0.5 m2 r^2 omega = v/r
0.5Mv1^2 + 0.5Iomega1^2 + Mgh1 =
0.5Mv2^2 + 0.5Iomega2^2 + Mgh2
E initial = m2gh = 2.0kg x 9.80 x 0 = 0
E final = m1gh + 0.5 m1v^2 + 0.5 Iomega^2 = m1gh + 0.5m1v^2...
Ok I'm in desperate need of some direction! I have the following question in which I must answer twice once using rotational dynamics and then again using Conservation of Mechanical Energy.
Question:
A massless string is wrapped around a solid cylinder as
shown in the diagram at the right...
My Work
So I was a little confused but I calculated using the formula I = mr^2 for both sides of the stick and then added them:
I = (0.132 kg)(0.3m)^2 + (0.308 kg)(0.7m)^2
= 0.1628 kg.m^2
My work
1 revolution = 360 degrees = 2 x pie rad = 6.28 rad
25 revolutions = (25 rev) (2 x pie rad/rev) = 50 x pie rad = 157 rad
omega = 157 rad/ 5.0 s = 31.4 rad/s
Therefore, the angular velocity of the wheel at the start of the 5.0 s interval was 31.4 rad/s
And angular velocity at...
Wanted to check this question also:
A meter stick of mass 0.44 kg rotates, in the horizontal plane, about a vertical
axis passing through the 30 cm mark. What is the moment of inertia of the stick?
(Treat it as a long uniform rod)
Answer: I = 0.1628 kg.m^2
Correct??
Just wanted to check to ensure I have calculated the correct answers for the following question:
A rotating wheel accelerates uniformly at
6.2 rad/s2, and completes 25 revolutions
during a 5.0 s interval. (a) What is the
angular velocity of the wheel at the start of
the 5.0 s interval...
I'm not sure how to go about doing this question. Any help would be great.
A window cleaner of mass 95 kg places a 22-kg ladder against a frictionless
wall, at an angle 65° with the horizontal. The ladder is 10 m long and rests on a
wet floor with a coefficient of static friction equal to...