Question

A penny of mass m is placed on an old-school turntable at radius r from the...

A penny of mass m is placed on an old-school turntable at radius r from the center. At time t = 0, the turntable starts to spin up from rest at a constant angular acceleration ?Z.The coeffcient of friction between the penny and the turntable is µS.

A)  If m = 2.5 g, µS = 0.30, and ?Z = 1.00 rad/s2 , what is the minimal radius such that the penny begins to slip immediately at t = 0?

B)  If r = 15 cm and all other number are the same as (a) what is the time t at which the penny begins to slip?

C)Assume that the penny begins to slip as in part (B). When it begins to slip, the coeffcient of kinetic friction is µK = 0.20. What are the x and y components of the force of kinetic friction?

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 uniform cylindrical turntable of radius 1.90 m and mass 30 kg rotates counterclockwise in a...
A uniform cylindrical turntable of radius 1.90 m and mass 30 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4π rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.25 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.80 m to the east of the axis. a.) Find the resulting angular speed of the clay...
A uniform cylindrical turntable of radius 1.70 m and mass 29.1 kg rotates counterclockwise in a...
A uniform cylindrical turntable of radius 1.70 m and mass 29.1 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4π rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.31 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.60 m to the east of the axis. (a) Find the final angular speed of the clay...
A solid disk of mass m1 = 9 kg and radius R = 0.23 m is...
A solid disk of mass m1 = 9 kg and radius R = 0.23 m is rotating with a constant angular velocity of ω = 39 rad/s. A thin rectangular rod with mass m2 = 3.3 kg and length L = 2R = 0.46 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 6) The rod took t = 5.4 s to accelerate to its final angular speed...
A uniform cylindrical turntable of radius 2.00 m and mass 31.2 kg rotates counterclockwise in a...
A uniform cylindrical turntable of radius 2.00 m and mass 31.2 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4? rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.42 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.90 m to the east of the axis. 1. Find the final angular speed of the clay...
A turntable has a radius R and mass M (considered as a disk) and is rotating...
A turntable has a radius R and mass M (considered as a disk) and is rotating at an angular velocity w0 about a frictionless vertical axis. A piece of clay is tossed onto the turntable and sticks d from the rotational axis. The clay hits with horizontal velocity component vc at right angle to the turntable’s radius, and in a direction that opposes the rotation. After the clay lands, the turntable has slowed to angular velocity w1. A) Find the...
A turntable has a radius R and mass M (considered as a disk) and is rotating...
A turntable has a radius R and mass M (considered as a disk) and is rotating at an angular velocity W0 about a frictionless vertical axis. A piece of clay is tossed onto the turntable and sticks d from the rotational axis. The clay hits with horizontal velocity component vc at right angle to the turntable’s radius, and in a direction that opposes the rotation. After the clay lands, the turntable has slowed to angular velocity W1. A) Find the...
A disk with mass m = 10.3 kg and radius R = 0.34 m begins at...
A disk with mass m = 10.3 kg and radius R = 0.34 m begins at rest and accelerates uniformly for t = 16.8 s, to a final angular speed of ω = 26 rad/s. 1) What is the angular acceleration of the disk? rad/s2 2) What is the angular displacement over the 16.8 s? rad 3) What is the moment of inertia of the disk? kg-m2 4) What is the change in rotational energy of the disk? J 5)...
A small, solid cylinder with mass = 20 kg and radius = 0.10 m starts from...
A small, solid cylinder with mass = 20 kg and radius = 0.10 m starts from rest and rotates without friction about a fixed axis through its center of mass. A string is wrapped around the circumference of the cylinder and pulled using a constant force F. The resulting angular acceleration of the cylinder is 5.0 rad/s2. What's the angular velocity after 4.0 s, in radians per second? (The moment of inertia of the cylinder is 1 half M R...
A solid disk of mass m1 = 9.5 kg and radius R = 0.19 m is...
A solid disk of mass m1 = 9.5 kg and radius R = 0.19 m is rotating with a constant angular velocity of ω = 30 rad/s. A thin rectangular rod with mass m2 = 3.3 kg and length L = 2R = 0.38 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 5) What is the final rotational energy of the rod and disk system?
A cylinder of mass M and radius R is initially at rest on a horizontal surface...
A cylinder of mass M and radius R is initially at rest on a horizontal surface where there is some unknown friction. At 0=t it is pulled by a horizontal force 4 Mg F = and starts to roll without slipping. ( 2 2 1 MRI C = and g acts down). a- Find the linear acceleration a of the centre of the cylinder (in terms of g). b- Find the coefficient of friction  (in terms of given quantities)....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT