Ok, I redid the problem considering, like you said, the kinetic energy of both linear and rotational movement.
so,
(0.5)(9.81)(0.81) = (1/2)(0.5)(0.075^2)(w^2) + (1/2)(0.001125)w^2 ---> w=44.68 rad/sec.
and velocity when the ball leaves the table is 5.147m/s
and d = 2.75meters
right?
1) Give the conditions for the equilibrium of an extended object.
An extended object is at equilibrium when no force is acting on it.
2) A uniform ladder of length 6.0m and mass 12.0kg is placed against a smooth vertical wall. The ground is rough.
a) Calculate the force on the ladder...
A solid sphere of diameter 0.15m and mass 0.5kg is released and rolls without slipping down the ramp. The ramp is 0.81m high and is on a table. The table has a height of 1.40 meters. The balls move freely once it leaves the table.
a) What is the moment of inertia of the ball about the axis of...
HELP:Volume generated("shell")
Find the volume generated when the region bounded by the graph of
f(x) = 4x^2
and the graph of
H(x) = 4
is rotated around the line y = -1
How do I solve this? How do I know if, when rotated, if the solid form a "shell" or a disc, or a washer?
1) Find the area of the region bounded by the graphs of
f(x) = x^2 - 5x + 3
and
H(x) = -x
Is H(x) an antiderivative? how do I solve this?
2) Find the area of the region bounded by the graphs of
x - y^2 + 2y + 4 = 2
and
2y - 2 - x = 0
so, x = y^2 - 2y - 2 and x = 2y - 2
I...