Question

A small block of mass *m* sits on the center of a dome of
radius *R*. (Just to be perfectly clear, a dome is an
upside-down hemisphere, like the top of a silo.) It is perfectly
balanced at the moment, but then a slight breeze comes along and
pushes it off in one direction. The rock will pick up speed as it
slides down the side of the dome, and at some point it will end up
going fast enough that it will lose contact with the dome.

Assuming the dome is frictionless and that initial speed from the breeze is so small as to be negligible, at what angle will the rock lose contact, measured in degrees? Measure the angle from the vertical, so that the rock started out at 0 degrees when it was balanced at the top and increases as the rock slides along the dome.

Answer #1

A block of mass M sits at rest at the top of a frictionless
curved ramp of height h. After being released, the block is moving
with speed 4v when it collides with a block of mass 1.5M at the
bottom of the ramp. Immediately following the collision, the larger
block has a speed 2v. The second block is attached to a vertical
rope, and swings freely as a pendulum after the collision. The
pendulum string has length L.
a)...

1.A small block of mass 3.5 kg starting from rest slides down on
an incline plane of height 2.0 m, 40 degrees with respect to
horizontal (Fig. 2). The coefficient of kinetic friction between
the block and the incline plane is 0.25. At the end of the incline
plane, the block hits the top of a hemispherical mound of ice
(radius 1.0 m) , loses 75% of final kinetic energy (KE=0.5mv*v)
before the collision, then slide down on the surface...

There is a variable amount of friction between a block of mass m
and a ramp at an angle θ above the horizontal. The kinetic and
static coefficients of friction are equal but vary as µ=Ax, where x
is measured along the ramp and x = 0 is the bottom of the ramp. The
block is sent up the ramp with an initial speed v0, and comes to a
stop somewhere on the ramp. In the following parts, take your...

1)
a) A block of mass m slides down an inclined plane starting
from
rest. If the surface is inclined an angle theta above the
horizontal,
and the block reaches a speed V after covering a distance D along
the
incline, what is the coefficient of kinetic friction?
b) at a distance D1 (still on the incline), the block
comes to an
instantaneous standstill against a spring with spring constant k.
How
far back up does the block? Why do...

QUESTION 1. A ferris wheel has a radius of 12
m. The center of the ferris wheel is 14 m above the ground. When it
is rotating at full speed the ferris wheel takes 10 s to make a
full turn. We can track one seat on the ferris wheel. Let’s define
t = 0 to be a time when that seat is at the top of the ferris wheel
while the ferris wheel is rotating at full speed. (a)...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 9 minutes ago

asked 14 minutes ago

asked 21 minutes ago

asked 35 minutes ago

asked 39 minutes ago

asked 41 minutes ago

asked 43 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago