Question

A disc of mass m and radius a has a string wrapped around it with one...

A disc of mass m and radius a has a string wrapped around it with one end attached to a fixed support.
The disc is allowed to fall with the string unwinding as it falls Derive the equations of motion using classical mechanics

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 massless string is wound around a solid cylinder that has a radius of 0.27 m...
A massless string is wound around a solid cylinder that has a radius of 0.27 m and a mass of 28.8 kg. The free end of the string is tied to a block of mass 4 kg which hangs straight down. At t=0, the cylinder is allowed to spin about an axis through its center and the block falls, unwinding the string. Assume that the cylinder spins without friction. What is the acceleration of the block?
A mass hung on a string that is wrapped around an axle on a wheel produces...
A mass hung on a string that is wrapped around an axle on a wheel produces a tension in the string of 6.00 N. The axle has a radius of 0.050 m. The wheel has a mas of 4.000 kg and a radius of 0.100 m, and a thickness of 0.050m. 1)What is the torque produced by the tension on the axle, show your work. 2) Regarding the shape of the wheel as that of a uniform, solid cylinder, what...
A disc of radius R = 20.0 cm, mass M = 2.5kg is mounted on a...
A disc of radius R = 20.0 cm, mass M = 2.5kg is mounted on a frictionless, horizontal axle through O. A block of mass m = 5.0 kg is attached to a light string wrapped around the disc. When the block is released from rest from a height h = 2.25m above the floor, it accelerates  downward to hit the floor. A) What is the potential energy of the block (in units of J) before it is released? (Take the...
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...
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 = 7.6 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 = 0.30 m/s Find the moment of inertia of the wheel if the block rises to...
A light string is wrapped around a solid cylinder and a 300 g mass hangs from...
A light string is wrapped around a solid cylinder and a 300 g mass hangs from the free end of the string, as shown. When released, the mass falls a distance 54 cm in 3.0 s. a. Draw free-body diagrams for the block and the cylinder. b. Calculate the tension in the string. c. Calculate the mass of the cylinder Please explain thoroughly, with pictures. Thx!
a 20.00-kg box is attached to a light string that is wrapped around a cylindrical frictionless...
a 20.00-kg box is attached to a light string that is wrapped around a cylindrical frictionless spool of radius 15.0 cm and mass of 5.00 kg. The spool is suspended from the ceiling, and the box is then released from rest a distance 4.50 m above the floor. What is the acceleration [in m/s2] of the box? How long does it take [in s] for the box to reach the floor?
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?
Two metal disks, one with radius R1 = 2.60cm and mass M1 = 0.700kg and the...
Two metal disks, one with radius R1 = 2.60cm and mass M1 = 0.700kg and the other with radius R2 = 5.05cmand mass M2 = 1.55kg , are welded together and mounted on a frictionless axis through their common center. A light string is wrapped around the edge of the smaller disk and a 1.40kg block is suspended from the free end of the string. Part A What is the magnitude of the downward acceleration of the block after it...
A bead of mass m is made to slide around on a ring of radius R...
A bead of mass m is made to slide around on a ring of radius R standing on its side. The bead is attached to one end of a spring with string constant k, and the other end of the spring is attached to one point on the ring, halfway up one side. There is gravity, g, and you may ignore friction. For simplicity, we will assume that the equilibrium length of the spring (when it has no tension) is...