Question

1. A soup can rolks down a ramp from a height of 7 m. Find the velocity at the bottom. I = 1/2 m r^2

2. If a communication satellite is going to be placed in orbit around earth at a distance of 8×10^8 m from center, fond the speed it needs to move in order to stay in orbit. The mass of the earth is 6×?10^24 kg. G=6.67×10^-11 N m^2/kg^2.

3. A baseball bat has a length of 1.2 m and a mass of 4.6 kg. What torque will be reto give it an angular acceleration of 2 rad/s2? Use I = 1/3 m I^2 for the moment of inertia

4. Friction will hold a car on the roadway no banking thru a curve with a 71 m radius at 26 m/s. Find the coefficient of friction between the tires and the road

5. A wheel 25.0 cm in radius turning at 120 ram increases its frequency to 660 ram in 9.00 s. Find the constant angular acceleration in rad/s, hint: units

Answer #1

1. Find the moment of inertia of a stick of length 4 m and mass
10 kg that is rotated about an axis that is 30 % from the left end
of the stick. Hint do the integration of r^2 dm
2. A 123 kg merry go round with a 5 m radius rotates on a
vertical axis. If I push at the edge with a force of 188 N, find
the angular acceleration. The moment of inertia of disk...

1. A balls rolls 7 m. If the radius of the ball is 1.3 m, find
theta, the angle it turns thru in radians
2. A 112 kg merry go round with a 4 m radius rotates on a
vertical axis. If I push at the edge with a force of 160 N find the
angular acceleration. The moment of inertia of a disk is I=1/2 m
r^2

A solid, uniform disk of radius 0.250 m and mass 54.1 kg rolls
down a ramp of length 3.80 m that makes an angle of 12.0° with the
horizontal. The disk starts from rest from the top of the ramp.
(a) Find the speed of the disk's center of mass when it reaches
the bottom of the ramp.
___________m/s
(b) Find the angular speed of the disk at the bottom of the
ramp.
___________rad/s

7. A 500 kg car goes around turn in the road that has a radius
of curvature of 5 m. The car is traveling at a constant speed of 10
m/s.
(i) What is the centripetal force required to keep the car from
sliding out as it goes around the turn?
(ii) What must be the coefficient of friction between the tires
of the car and the road in order for the car to not sliding as it
goes around...

1)A object is released from rest from a height of 1.8 m and
moves down the incline as shown. What is the angular speed of the
object when it reaches the horizontal surface? (ignore the
rotational kinetic energy, friction force, drag force).The mass of
the object is 50.0 kg. a)5.9 m/s b)3.3 m/s c) 2.5 m/s d)1.8 m/s
2) a 5.0 kg bird, accelerating from rest at a constant rate,
experiences a displacement of 28 m in 11 seconds. What...

1) A box has initial velocity of v0 = 0.3
m/s down the ramp. The coefficients of kinetic and static friction
are ?k = 0.3 and ?s = 0.5 and the box has a
mass of m = 2 kg. If the ramp is at angle 45°, and the box
is given an initial velocity of v0 = 0.3 m/s,
down the ramp, how long does it take to get to the bottom of the
ramp, which is 3 meters...

I can test a new wheel design by rolling it down a test ramp. I
release a wheel of mass m=1.9 kg and radius r=0.37 m from rest at
an initial height of h=5.1 m at the top of a test ramp. It smoothly
rolls to the bottom without sliding. I measure the linear speed of
the wheel at the bottom of the test ramp to be v=3.1 m/s. What is
the rotational inertia of my wheel?
Select one:
2.45...

Beginning from rest, an object of mass 200 kg slides down a
9-m-long ramp. The ramp is inclined at an angle of 20o
from the horizontal. Air resistance and friction between the object
and the ramp are negligible. Let g = 9.81
m/s2.
Determine the kinetic energy of the object, in kJ, and the velocity
of the object, in m/s, at the bottom of the ramp.

1) A thin rod of length 0.64 m and mass 150 g is
suspended freely from one end. It is pulled to one side and then
allowed to swing like a pendulum, passing through its lowest
position with angular speed 1.46 rad/s. Neglecting friction and air
resistance, find (a) the rod's kinetic energy at its lowest
position and (b) how far above that position the center of
mass rises.
2) A wheel, starting from rest, rotates with a constant angular...

A box with a mass of 1000 kg is sliding down a ramp with
a slope of 15º at an initial speed of 8 m/s.
-Draw a free-body diagram of the car on the hill. All
forces must be labelled.
-What coefficient of kinetic friction, k, will result in
the acceleration being 0 m/s^2 ?
-If the coefficient of kinetic friction is actually
k=0.4 what is the box acceleration?
-What is the stopping distance?
-After sliding 10 m what is...

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