A coin rests 15.0 cm from the center of a turntable. Thecoefficient of static friction between the coin and turntablesurface is 0.350. The turntable starts from rest at t = 0 androtates with a constant angular acceleration of 0.730 rad/s2.(a) Once the turntable starts to rotate, what force causes thecentripetal acceleration when the coin is stationary relativeto the turntable? Under what conditiondoes the coin begin to move relativeto the turntable?(b) After whatperiod of time will the coin start toslip on the turntable?

Question
Asked Dec 18, 2019
40 views

A coin rests 15.0 cm from the center of a turntable. The
coefficient of static friction between the coin and turntable
surface is 0.350. The turntable starts from rest at t = 0 and
rotates with a constant angular acceleration of 0.730 rad/s2.

(a) Once the turntable starts to rotate, what force causes the
centripetal acceleration when the coin is stationary relative
to the turntable? Under what condition
does the coin begin to move relative
to the turntable?

(b) After what
period of time will the coin start to
slip on the turntable?

check_circle

Expert Answer

Step 1

(a)If there is no friction between the surface of the turntable and the coin, the coin will go away from the center. To overcome this motion, the static frictional force must act towards the center of the turntable. When the coin begins...

help_outline

Image Transcriptionclose

my? > µmg (1) Here, m is the mass of the coin, v is the tangential speed of the coin, r is the distance from the center of the turntable to the coin, µ̟ is the coefficient of static friction between and g is the acceleration due to gravity. The equation for the tangential speed is given by, v=ro Here, w is the angular speed. The equation for the angular speed is given by, @= a + at Here, a, is the initial angular velocity, a is the angular acceleration and t is the time. Since the turntable starts from rest, the initial angular speed will be zero. Thus, w= 0+ at = at This gives, v = rat

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Kinematics

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Compared with a car moving at some original speed, how much work must the brakes of car supply to st...

A: The work done by the brakes of the car is given by

question_answer

Q: A 0.20 - kg stone is held 1.3 m above the top edge of a water welland then dropped into it. The well...

A: a)The gravitational potential energy of the stone and earth system before stone dropped is

question_answer

Q: |(a) When a 9.00-V battery is connected to the plates of a capacitor, it stores a charge of 27.0 µC....

A: Part A:

question_answer

Q: How does the speed affect the friction between a road and a skidding tire?

A: The friction force is the force that opposes the relative motion between the surfaces that are in co...

question_answer

Q: Is a head-on collision between two cars more damaging to the occupants if the cars stick together or...

A: If the cars stick together then most of its energies are transferred and absorbed by the crumple zon...

question_answer

Q: A satellite of Mars, called Phoebus, has an orbital radius of9.4 x 106 m and a period of 2.8 x 104 s...

A: the time period of the satellite is, 

question_answer

Q: A pendulum has a period of 5 seconds. What is its frequency?

A: Frequency is,

question_answer

Q: The force acting on a particle varies as in Figure P5.59. Find the work done by the force as the par...

A: Given:

question_answer

Q: What generally happens to the temperature of rising air and sinking air?

A: If the Air sinking down compresses air at the surface, raising temperatures near the ground. The tem...