A falling mass, a pulley, and Friction
A rope is wrapped around a pulley many times, and a mass mA hangs vertically. The pulley has a mass M and radius R, and it has a brake being applied to help slow the motion. The brake creates a constant kinetic friction force of magnitude F that acts tangentially on the pulley at a distance (R/2) from the axis. The pulley can be modeled as a solid uniform disk. The mass mA is released from rest at time t=0.
Homework Answers
A frictionless pulley has the shape of a uniform solid disk of mass 2.20 kg and...
A frictionless pulley has the shape of a uniform solid disk of
mass 2.20 kg and radius 10 cm. A 1.90 kg stone is attached to a
very light wire that is wrapped around the rim of the pulley (the
figure (Figure 1) ), and the system is released from rest.
a)How far must the stone fall so that the pulley has 6.30 J of
kinetic energy?
h =_____________m
b)What percent of the total kinetic energy does the pulley
have?...
A frictionless pulley has the shape of a uniform solid disk of mass 2.40 kg and radius 10 cm
A frictionless pulley has the shape of a uniform solid disk of mass 2.40 kg and radius 10 cm. A 1.20 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (the figure ), and the system is released from rest. Part A How far must the stone fall so that the pulley has 4.80 J of kinetic energy? Part B What percent of the total kinetic energy does the pulley have?
A frictionless pulley has the shape of a uniform solid disk of mass 2.20 kg and...
A frictionless pulley has the shape of a uniform solid disk of mass 2.20 kg and radius 10 cm. A 1.10 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (the figure (Figure 1)), and the system is released from rest. a) How far must the stone fall so that the pulley has 4.60 J of kinetic energy? h = ... meters b) What percent of the total kinetic energy does...
A frictionless pulley has the shape of a uniform solid disk of mass 2.60 kg and radius 10 cm
A frictionless pulley has the shape of a uniform solid disk of mass 2.60 kg and radius 10 cm. A 1.90 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (the figure (Figure 1)), and the system is released from rest. Part A How far must the stone fall so that the pulley has 4.20 J of kinetic energy? Part B What percent of the total kinetic energy does the pulley have?...
2. The pulley (disk) has a radius "R" and a mass "m". The rope does not...
2. The pulley (disk) has a radius "R" and a mass "m". The rope does not slip over the pulley, and the pulley spins on a frictionless axle. The coefficient of kinetic friction between block A and the surface is "u. The system is released from rest and block B descends. Block A has a mass "2m" and block B has a mass "m Write out the forces and torque equations. Given [R, m, h, ], Determine: a. The acceleration...
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 string is wrapped around a pulley of mass M, radius R, and moment of inertial....
A string is wrapped around a pulley of mass M, radius R, and moment of inertial. The string is attached to a mass m; the mass m is then released. Treat the pulley as if it were a uniform disk (a) Find the acceleration of the mass m as it falls. (b) How would your answer to part (a) above change if we ignore the motion of the pulley (effectively setting the mass M -0)? m
aerslon 2 Part D (Rotational Dynamics and Oscillations) Problem D1: A disk-shaped pulley has mass M...
aerslon 2 Part D (Rotational Dynamics and Oscillations) Problem D1: A disk-shaped pulley has mass M 4kg and radius R 0.5cm, It rotates freely on a horizontal axis. A block of mass m 2kg hangs by a string that is tightly wrapped around the pulley. Assume the system starts from rest. Moment of inertia of a disk is I Ma 4-0.5 5 2 M R 1) What is the acceleration of the block? 2) What is the angle velocity of...
A mass m hangs from a string. The string is attached to a frictionless pulley of...
A mass m hangs from a string. The string is attached to a frictionless pulley of mass M and is wrapped around it many times around it. The hanging mass is released from rest from a height h above the floor. The pulley is a uniform disk. use the rotational and linear second laws to find the acceleration of the mass as it falls. I got a = 2mg/(2m+M). Is this correct? If, so please explain
Part D (Rotational Dynamics and Oscillations) Problem D1: A disk-shaped pulley has mass M = 4kg...
Part D (Rotational Dynamics and Oscillations) Problem D1: A disk-shaped pulley has mass M = 4kg and radius R = 0.5cm. It rotates free axis. A block of mass m = 2kg hangs by a string that is tightly wrapped ar the system starts from rest. Moment of inertia of a disk is I = 2 gs by a string that is tightly wrapped around the pulley. Assume m.it rotates freely on a horizontal M 1) What is the acceleration...
A frictionless pulley has the shape of a uniform solid disk of
mass 2.20 kg and radius 10 cm. A 1.90 kg stone is attached to a
very light wire that is wrapped around the rim of the pulley (the
figure (Figure 1) ), and the system is released from rest.
a)How far must the stone fall so that the pulley has 6.30 J of
kinetic energy?
h =_____________m
b)What percent of the total kinetic energy does the pulley
have?...
2. The pulley (disk) has a radius "R" and a mass "m". The rope does not slip over the pulley, and the pulley spins on a frictionless axle. The coefficient of kinetic friction between block A and the surface is "u. The system is released from rest and block B descends. Block A has a mass "2m" and block B has a mass "m Write out the forces and torque equations. Given [R, m, h, ], Determine: a. The acceleration...
A string is wrapped around a pulley of mass M, radius R, and moment of inertial. The string is attached to a mass m; the mass m is then released. Treat the pulley as if it were a uniform disk (a) Find the acceleration of the mass m as it falls. (b) How would your answer to part (a) above change if we ignore the motion of the pulley (effectively setting the mass M -0)? m
aerslon 2 Part D (Rotational Dynamics and Oscillations) Problem D1: A disk-shaped pulley has mass M 4kg and radius R 0.5cm, It rotates freely on a horizontal axis. A block of mass m 2kg hangs by a string that is tightly wrapped around the pulley. Assume the system starts from rest. Moment of inertia of a disk is I Ma 4-0.5 5 2 M R 1) What is the acceleration of the block? 2) What is the angle velocity of...
Part D (Rotational Dynamics and Oscillations) Problem D1: A disk-shaped pulley has mass M = 4kg and radius R = 0.5cm. It rotates free axis. A block of mass m = 2kg hangs by a string that is tightly wrapped ar the system starts from rest. Moment of inertia of a disk is I = 2 gs by a string that is tightly wrapped around the pulley. Assume m.it rotates freely on a horizontal M 1) What is the acceleration...
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