Question

A block (mass = 1.0 kg) is hanging from a massless cord that is wrapped around...

A block (mass = 1.0 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.1 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 value of 0.041 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A block (mass = 1.2 kg) is hanging from a massless cord that is wrapped around...
A block (mass = 1.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.0 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 block (mass = 3.0 kg) is hanging from a massless cord that is wrapped around...
A block (mass = 3.0 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.2 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 block (mass = 2.3 kg) is hanging from a massless cord that is wrapped around...
A block (mass = 2.3 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.7 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 block (mass = 59.1 kg) is hanging from a massless cord that is wrapped around...
A block (mass = 59.1 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1/2MR2 kg · m2, where M = 6.9 kg is the mass of the pulley and R=1.3 m is its radius ), as the drawing 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...
A hanging weight, with a mass of m1 = 0.365 kg, is attached by a cord...
A hanging weight, with a mass of m1 = 0.365 kg, is attached by a cord to a block with mass m2 = 0.815 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As...
To start her lawn mower, Julie pulls on a cord that is wrapped around a pulley....
To start her lawn mower, Julie pulls on a cord that is wrapped around a pulley. The pulley has a moment of inertia about its central axis of III = 0.590 kg⋅m2kg⋅m2 and a radius of 4.00 cmcm . There is an equivalent frictional torque impeding her pull of τfτftau_f = 0.260 m⋅Nm⋅N . To accelerate the pulley at ααalpha = 4.35 rad/s2rad/s2 , how much torque does Julie need to apply to the pulley? How much tension must the...
4. A massless rope is wrapped around a uniform solid cylinder that has radius of 30...
4. A massless rope is wrapped around a uniform solid cylinder that has radius of 30 cm and mass 10 kg, as shown in the figure. The cylinder begins to unwind when it is released and allowed to rotate. (a) What is the acceleration of the center of mass of the cylinder? (b) If 90 cm of rope is unwound from the cylinder as it falls, how fast is it rotating at this instant?
A hanging object has a mass of m1 = 0.435 kg; the sliding block has a...
A hanging object has a mass of m1 = 0.435 kg; the sliding block has a mass of m2 = 0.880 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R1 = 0.020 0 m, and an outer radius of R2 = 0.030 0 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is ?k = 0.250....
A hanging weight, with a mass of m1 = 0.355 kg, is attached by a rope...
A hanging weight, with a mass of m1 = 0.355 kg, is attached by a rope to a block with mass m2 = 0.845 kg as shown in the figure below. The rope goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As...
A block of mass m = 2.5 kg is attached to a string that is wrapped...
A block of mass m = 2.5 kg is attached to a string that is wrapped around the circumference of a wheel of radius R = 8.8 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 A) Find the moment of inertia of the wheel if the block rises...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT