A block of mass M = 1.1 kg is attached to a string which is wrapped...
A block of mass M = 1.1 kg is attached to a string which is wrapped around a pulley. As the block accelerates due to gravity the pulley rotates clockwise. The pulley can be thought of as a thin cylinder of mass m = 0.5 kg and radius r = 0.26 m. Consider positive to be the block moving down and the pulley rotating clockwise.
What is the downwards acceleration of the block?
What is the angular acceleration of the pulley?
Starting from rest, how long does it take the block to hit the floor, 1.38 m below?
Through how many radians did the pulley turn at this point?
How many revolutions did the pulley make?
If the mass of the block were increased, the acceleration would:
If the mass of the pulley were decreased, the acceleration would
If the radius of the pulley were decreased the acceleration would
If the solid cylindrical pulley were replaced by a hoop of equal mass and radius, the acceleration would
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A block of mass M = 1.1 kg is attached to a string
which is wrapped...
A block of mass m = 1.8 kg is attached to a string that is wrapped...
A block of mass m = 1.8 kg is attached to a string that is wrapped around the circumference of a wheel of radius R = 7.3 cm . The wheel rotates freely about its axis and the string wraps around its circumference without slipping. Initially the wheel rotates with an angular speed ω, causing the block to rise with a linear speed v = 0.24 m/s. Find the moment of inertia of the wheel if the block rises to...
A block of mass m = 1.7 kg is attached to a string that is wrapped...
A block of mass m = 1.7 kg is attached to a string that is wrapped around the circumference of a wheel of radius R = 7.5 cm . The wheel rotates freely about its axis and the string wraps around its circumference without slipping. Initially the wheel rotates with an angular speed ω, causing the block to rise with a linear speed v = 0.42 m/s .(Figure 1) Find the moment of inertia of the wheel if the block...
A block of mass m = 1.4 kg is attached to a string that is wrapped...
A block of mass m = 1.4 kg is attached to a string that is wrapped around the circumference of a wheel of radius R = 7.1 cm . The wheel rotates freely about its axis and the string wraps around its circumference without slipping. Initially the wheel rotates with an angular speed ω, causing the block to rise with a linear speed v = 0.27 m/s . Part A: Find the moment of inertia of the wheel if the...
A 2.85 kg block is attached to a rope and wrapped around a disc- shaped pulley...
A 2.85 kg block is attached to a rope and wrapped around a disc- shaped pulley of radius 0.121 m and mass 0.742 kg. If the block is allowed to fall, (a) What is its linear acceleration? (b) What is the angular acceleration of the pulley? (c) How far does the mass drop in 1.50 s?
A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around...
A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.6 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a...
A thick walled cylinder has a light string wrapped around its outer radius and rotates about...
A thick walled cylinder has a light string
wrapped around its outer radius and rotates
about a horizontal axis. The string then goes
vertically straight up and over a massive
pulley that also rotates about a horizontal
axis, and finally connects to a mass m =
0.900 kg on a rough incline (μk = 0.200) that
is angled at 25.0° to the horizontal.
When the system is released from rest the mass slides down the ramp
a distance of 1.80...
explain how please. A 8 kg block is attached to a rope that is wrapped many...
explain how please. A 8 kg block is attached to a rope that is wrapped many times around the rim of a flywheel (pulley), which is considered as uniform disk of diameter 0.5 meters and mass 4 kg . When the block is released the rope unspools without slipping. What is the acceleration of the block in m/s2?
Explain how please. A 15 kg block is attached to a rope that is wrapped many...
Explain how please. A 15 kg block is attached to a rope that is wrapped many times around the rim of a flywheel (pulley) of radius 0.2 meters. When the block is released the rope unspools without slipping. If the acceleration of the block is 3.5, what is the rotational inertia of the flywheel (in kg·m2)?
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
A 2.20 kg mass is attached to a light cord that is wrapped around a pulley...
A 2.20 kg mass is attached to a light cord that is wrapped around a pulley of radius 4.35 cm, which turns with negligible friction. The mass falls at a constant acceleration of 2.05 m/s2. Find the moment of inertia of the pulley.
A thick walled cylinder has a light string
wrapped around its outer radius and rotates
about a horizontal axis. The string then goes
vertically straight up and over a massive
pulley that also rotates about a horizontal
axis, and finally connects to a mass m =
0.900 kg on a rough incline (μk = 0.200) that
is angled at 25.0° to the horizontal.
When the system is released from rest the mass slides down the ramp
a distance of 1.80...
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
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