A thin, massless rope is wrapped around a cylinder (I=MR^2/2) with radius .4m. The rope is...
A thin, massless rope is wrapped around a cylinder (I=MR^2/2) with radius .4m. The rope is attached to a hanging bag of stuff (m=.1kg). If the stuff accelerates downward at 1.0m/s^2 what is the mass of the wheel? Why is tension not the weight of the stuff?
Homework Answers
given that
a = 1 m/s^2
mass of stuff m = 0.1 kg
R = 0.4 m
according to the given situation ,we can say that
m*g - T = m*a
T = m*(g - a) = 0.1* ( 9.8-1)
T = 0.88 N
we know that
a = R * alpha (alpha = angular acceleration)
alpha = a / R = 1/0.4 = 2.5 rad/s^2
we also know that
T = I * alpha
I = T / alpha =0.88 / 2.5
I = 0.352 kg*m^2
moment of inertia for cylinder I = M*R^2 / 2
M = 2* I / R^2
M = 2*0.352 / (0.4)^2
M = 4.4 kg
(b)
tension in rope is not equal to weight of the stuff because stuff is accelerating so
T = m*g - m*a
Add Answer to:
A thin, massless rope is wrapped around a cylinder (I=MR^2/2)
with radius .4m. The rope is...
A small block of mass m2 hangs from a massless rope wrapped around the inner cylinder...
A small block of mass m2 hangs from a massless rope wrapped around the inner cylinder of a pulley with inner radius of R2. The moment of inertia of the entire pulley is I = 4m2(R2)2. Another block m1= m2 is connected to the outer cylinder of the pulley via a horizontal massless rope wrapped around the outer cylinder of the pulley with radius R1=2R2. The coefficient of kinetic friction between the block and the horizontal surface is μk =...
A uniform cylinder of mass 3.0 kg and radius 10.0 cm has a rope wrapped around...
A uniform cylinder of mass 3.0 kg and radius 10.0 cm
has a rope wrapped around its edge; a tension of 5.0 N
is
exerted on the rope. The cylinder rotates at a
constantly
increasing rate, starting from rest.
10DCH 1. A uniform cylinder of mass 3.0 kg and radius 10.0 cm has a rope wrapped around its edge; a tension of 5.0 N is exerted on the rope. The cylinder rotates at a constantly increasing rate, starting from rest....
A light, flexible rope is wrapped several times around a hollow cylinder with a weight of...
A light, flexible rope is wrapped several times around a hollow cylinder with a weight of 40.0 Nand a radius of 0.25 m, that rotates without friction about a fixed horizontal axis. The cylinder is attached to the axle by spokes of a negligible moment of inertia. The cylinder is initially at rest. The free end of the rope is pulled with a constant force P for a distance of 5.00 m, at which point the end of the rope...
please show all your work SECTION 3 - Newtonian Dynamics 3 (a) A rope (that can...
please show all your work
SECTION 3 - Newtonian Dynamics 3 (a) A rope (that can be considered massless) is wrapped around a horizontal cylinder of mass M and radius R. The cylinder is free to rotate, and a mass m is hanging on the end of the rope as shown in the diagram. When the mass is released, it falls under the effect of gravity. Show that the downward acceleration a of the hanging mass is: 1 + M/2m...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the Figure below. The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. 1. Find the magnitude a of the linear acceleration of the block. 2. Find the magnitude T of the tension in the string.
A rope of negligible mass is wrapped around a 225-kg solid cylinder of radius 0.400 m....
A rope of negligible mass is wrapped around a 225-kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction. (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? m/s2 (b) What is the angular acceleration of the cylinder? rad/s2
An m = 13.6 kg mass is attached to a cord that is wrapped around a...
An m = 13.6 kg mass is attached to a cord
that is wrapped around a wheel of radius r = 11.3 cm (see the
figure below).
The acceleration of the mass down the frictionless incline is
measured to be a = 1.98 m/s2. Assuming the axle of the
wheel to be frictionless, and the angle to be theta=
33.0o determine the tension in the rope.
Determine the moment of inertia of the wheel.
Determine angular speed of the wheel...
In the figure, a very light rope is wrapped around a wheel o radius R =...
In the figure, a very light rope is wrapped around a wheel o radius R = 2.0 m and does not slip. The wheel is mounted with frictionless bearings on an axle through Its center. A block of mass 14 kg is suspended from the end of the rope. When the system is released from rest it is observed that the block descends 10 m in 2.0 s. What is the moment of Inertia of the wheel?
A 12.0 kg object is attached to a cord that is wrapped around a wheel of...
A 12.0 kg object is attached to a cord that is wrapped around a
wheel of radius 10.0 cm. The acceleration of the object down the
frictionless incline is measured to be 2.00 m/s2. Assuming the axis
of the wheel to be frictionless, determine a) the tension in the
rope, b) the moment of inertia of the wheel, and c) the angular
speed of the wheel 2.00 s after it begins rotating, starting from
rest.
A 12.0 kg object is...
A light string is wrapped around the outside of a 2.0-kg-wheel whose radius is 75 cm....
A light string is wrapped
around the outside of a 2.0-kg-wheel whose radius is 75 cm. The
wheel has a frictionless axel that allows it to rotate but prevents
its center of mass from moving. Assume the moment of inertia of the
wheel is the same as that of a point particle of equal mass at the
same radius from the axel. The string is then attached to a 3.0-kg
hanging mass that is released from rest. While the mass...
A uniform cylinder of mass 3.0 kg and radius 10.0 cm
has a rope wrapped around its edge; a tension of 5.0 N
is
exerted on the rope. The cylinder rotates at a
constantly
increasing rate, starting from rest.
10DCH 1. A uniform cylinder of mass 3.0 kg and radius 10.0 cm has a rope wrapped around its edge; a tension of 5.0 N is exerted on the rope. The cylinder rotates at a constantly increasing rate, starting from rest....
please show all your work
SECTION 3 - Newtonian Dynamics 3 (a) A rope (that can be considered massless) is wrapped around a horizontal cylinder of mass M and radius R. The cylinder is free to rotate, and a mass m is hanging on the end of the rope as shown in the diagram. When the mass is released, it falls under the effect of gravity. Show that the downward acceleration a of the hanging mass is: 1 + M/2m...
An m = 13.6 kg mass is attached to a cord
that is wrapped around a wheel of radius r = 11.3 cm (see the
figure below).
The acceleration of the mass down the frictionless incline is
measured to be a = 1.98 m/s2. Assuming the axle of the
wheel to be frictionless, and the angle to be theta=
33.0o determine the tension in the rope.
Determine the moment of inertia of the wheel.
Determine angular speed of the wheel...
In the figure, a very light rope is wrapped around a wheel o radius R = 2.0 m and does not slip. The wheel is mounted with frictionless bearings on an axle through Its center. A block of mass 14 kg is suspended from the end of the rope. When the system is released from rest it is observed that the block descends 10 m in 2.0 s. What is the moment of Inertia of the wheel?
A 12.0 kg object is attached to a cord that is wrapped around a
wheel of radius 10.0 cm. The acceleration of the object down the
frictionless incline is measured to be 2.00 m/s2. Assuming the axis
of the wheel to be frictionless, determine a) the tension in the
rope, b) the moment of inertia of the wheel, and c) the angular
speed of the wheel 2.00 s after it begins rotating, starting from
rest.
A 12.0 kg object is...
A light string is wrapped
around the outside of a 2.0-kg-wheel whose radius is 75 cm. The
wheel has a frictionless axel that allows it to rotate but prevents
its center of mass from moving. Assume the moment of inertia of the
wheel is the same as that of a point particle of equal mass at the
same radius from the axel. The string is then attached to a 3.0-kg
hanging mass that is released from rest. While the mass...
Most questions answered within 3 hours.
-
In C++ Programming, Try using loops only.
This lab demonstrates the use of the While Loop...
asked 34 minutes ago -
Effect of DCMU and sodium azide on Chlamydomonas? We did an
experiment where we had Chlamydomonas...
asked 1 hour ago -
1a) According to the ideal gas law, _______________.
a. a gas has infinite volume at absolute...
asked 2 hours ago -
Oakdale Fashions, Inc. had $245,000 in 2018 taxable income.
Using the tax schedule in Table 2.3...
asked 3 hours ago -
The marketing class at CSUS had an average score of 150. An
educational analyst determined that...
asked 4 hours ago -
Justin Case has purchased a $250 000 home by putting 20 % down
and taking out...
asked 4 hours ago -
1. In a labor market, marginal cost for a firm is
____________.
a. recruiting cost
b....
asked 5 hours ago -
On January 1, 2019, ABC Company issued $60,000,000 of 20-year,
10.5% bonds when the market rate...
asked 5 hours ago -
39.4% of US homes continue to use a landline in addition to cell
phone service. 3...
asked 6 hours ago -
Starting with benzene, synthesize 1-phenyl-1-butyne.
Show intermediates and reagents.
asked 7 hours ago -
Create a 32-run crossed array design with six control factors
and two noise factors such that...
asked 8 hours ago -
A 500g sample of sand from source A has the following amounts
retained on each sieve....
asked 8 hours ago