A 6.25 g (6.25 x 10^-3 kg) quarter sits 25 cm (2.5 x 10^-1 m) from the axis of rotation on a turntable that has a period of rotation of 1.8 seconds. a). Draw a free body diagram of the quarter showing the forces acting on it as it rotates to include F(friction), F(normal) and F(gravity). b) Determine the coefficient of static friction in order to keep the quarter from sliding outward when the turntable is in motion

A 6.25 g (6.25 x 10^-3 kg) quarter sits 25 cm (2.5 x 10^-1 m) from the axis of rotation on a turntable that has a period of rotation of 1.8 seconds. a). Draw a free body diagram of the quarter showing the forces acting on it as it rotates to include F(friction), F(normal) and F(gravity). b) Determine the coefficient of static friction in order to keep the quarter from sliding outward when the turntable is in motion

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Circular Motion And Other Applications Of Newton's Laws

Section: Chapter Questions

Problem 32AP: Why is the following situation impossible? A mischievous child goes to an amusement park with his...

See similar textbooks

Similar questions

Why is the following situation impossible? A mischievous child goes to an amusement park with his family. On one ride, after a severe scolding from his mother, he slips out of his seat and climbs to the top of the rides structure, which is shaped like a cone with its axis vertical and its sloped sides making an angle of = 20.0 with the horizontal as shown in Figure P6.32. This part of the structure rotates about the vertical central axis when the ride operates. The child sits on the sloped surface at a point d = 5.32 m down the sloped side from the center of the cone and pouts. The coefficient of static friction between the boy and the cone is 0.700. The ride operator does not notice that the child has slipped away from his seat and so continues to operate the ride. As a result, the sitting, pouting boy rotates in a circular path at a speed of 3.75 m/s. Figure P6.32
In the figure, block 1 has mass m1 = 480 g, block 2 has mass m2 = 540 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.4 cm. When released from rest, block 2 falls 77 cm in 5.1 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2. (A) Number: Unit: (B) Number: Unit: (C) Number: Unit: (D) Number: Unit: (E) Number: Unit:
In the figure, block 1 has mass m1 = 440 g, block 2 has mass m2 = 590 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.4 cm. When released from rest, block 2 falls 78 cm in 5.3 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2.
A man stands on a merry-go-round that is rotating with an angular speed of ω = 2.06 rad/s. The coefficient of static friction between his shoes and the merry-go-round is μs = 0.55. (a) Write an expression for the largest distance he can stand from the center of the axis of rotation but not slide. Your expression will be in terms of ω, μs, and g (9.80 m/s2). (b) What is the answer to part (a) in meters?
In the figure, block 1 has mass m1 = 460 g, block 2 has mass m2 = 520 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.0cm. When released from rest, block 2 falls 74 cm in 5.4 s without the cord slipping on the pulley. (a)What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2.
Which of the ff. best describes a scientific law?a.It implies something accurate b. It implies experimentation results c. It summarizes observed facts d.It describes and observes physical results The rate of rotary motion is called a. Angular velocity b. Angular motion c. Angular displacement d. Angular acceleration What average force is necessary to stop a .45 caliber bullet of mass 15 grams and speed of 300 m/s as it penetrates a block to a distance of 5 cm?a.12.6 kN b.13.5 kN c.13.0 kN d. 12.0 kN
11) A ball of mass 3.0 kg is suspended by two cables attached to a horizontal arm, which in turn is attached to a vertical pole, as shown in the graph. The pole is put into uniform rotation around its axis so that the linear speed of the ball is equal to 2.5 m / s. The tension in wire 2 is: Answers: a) 24 N b) 34 N c) 29 N d) 39 N e) 44 N
An Atwood's machine consists of blocks of masses m1 = 13.0 kg and m2 = 22.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 6.60 kg and radius r = 0.200 m. The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping. (a) Why must the tension T2 be greater than the tension T1? (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.)____m/s2(c) Find the tensions T1 and T2. T1 = _____N T2 = _____N
A block of mass m1 = 8.00 kg and a block of mass m2 = 12.0 kg are connected by a massless string over a pulley in the shape of a solid diskhaving radius R = 0.350 m and mass M = 12.0 kg. The coefficient of kinetic friction between block m1 and the table is 0.27.a) Draw force diagrams of both blocks and of the pulley.b) Determine the acceleration of the two blocks.c) Determine the tensions ?1 and ?2 in the string on both sides of the pulley.d) How would the answer for ?1 and ?2 change is the pulley were massless?
block 1 has mass m1 = 460 g, block 2 has mass m2 = 520 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.0cm. When released from rest, block 2 falls 74 cm in 5.4 s without the cord slipping on the pulley. (a)What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2.
block 1 has mass m1 = 460 g, block 2 has mass m2 = 520 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.0cm. When released from rest, block 2 falls 74 cm in 5.4 s without the cord slipping on the pulley. (a)What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c)tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2.
An Atwood's machine consists of blocks of masses m1 = 13.0 kg and m2 = 16.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 9.10 kg and radius r = 0.200 m. The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping. (a) Why must the tension T2 be greater than the tension T1? (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) =________ m/s2 (c) Find the tensions T1 and T2. T1= ______N T2= _____N