bowiing ball of mass M and radius R is at rest on the floor of a stationary train car. mere is sufficient friction between the ball and the floor such that the ball will roll without Silipping. If the train begins to accelerate forward with acceleration a relative to the earth, determine the linear acceleration (magnitude and direction) of the bowling ball as seen from a. A passenger on the train b. A person at rest relative to the earth.

bowiing ball of mass M and radius R is at rest on the floor of a stationary train car. mere is sufficient friction between the ball and the floor such that the ball will roll without Silipping. If the train begins to accelerate forward with acceleration a relative to the earth, determine the linear acceleration (magnitude and direction) of the bowling ball as seen from a. A passenger on the train b. A person at rest relative to the earth.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Suppose that a copper sleeve of inner radius 1.75 cm and outer radius 1.85 cm is to be cast. To…

Q: Problem 3: A yo-yo has a center shaft with a 0.25 cm radius. a) If the string is held fixed and the…

A: Write the expression for the angular acceleration.Here, a is the acceleration, r is the radius and…

Q: The spin rate of a CD-ROM varies according to the location on the disc from where data is being…

Q: The Earth orbits the Sun in a near circular orbit of radius 1.5 × 10^11m. Find themagnitude of…

A: Question 1Earth velocity is simply the distance covered by the earth with respect to time. While…

Q: Certain neutron stars (extremely dense stars) are believed to be rotating at about 1.9 rev/s. If…

A: We know:

Q: what is the current magnitude ? of the angular momentum of the car about the diner

Q: Long-term space missions require some form of artificial gravity to prevent astronauts losing bone…

A: Here, FC=Fg2mω2r=mg2r=g2ω2

Q: Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 360 rpm, and the piece…

Q: An empty barrel with a diameter of 1 meter is revolved about its center. Suppose a 1 kg trout is…

A: Step 1:To solve this problem, we can use the principles of rotational motion and the concept of…

Q: goes in a horizontal circle 25 times in 3.75s. What is the tangential acceleration on the ball if…

Q: A turntable of radius 60 cm undergoes constant acceleration from rest to 3.0 rev/s in 2.5 seconds.…

Q: An airplane makes a complete half circle of 75 meters radius, towards left, when flying at 350 km/h.…

A: Given that,v=350 Km/hr=350×518=97.22 m/sRadius, R=75 mMass=400 kg, Radius of gyration=0.3 mEngine…

Q: A puck of mass m =1.50 kg slides in a circle of radius r 20.0 cm on a frictionless table while…

A: The mass of the puck,

Q: A particle of dust lands 41.4 mm from the center of a compact disc (CD) that is 120 mmin diameter.…

Q: The reference frame below is rotating with a constant angular velocity of 8,2k rad/s while point A…

A: As given in the problem the reference frame (X-Y plane) is rotating about point B as the origin of…

Q: A car moving at a speed of 25m/s suddenly accelerates uniformly 2.30 m/s² at a time interval of half…

A: Given data: The initial speed of the car is u = 25 m/s The acceleration is a = 2.30 m/s.s The time…

Q: To a ball rolling on a horizontal surface with a mass 1 kg applied a force of 1 N and stopped it.…

Q: A solid spherical ball and a hollow spherical ball made out of the same material are released from…

Q: You are riding your bicycle down the road and decide to stop to take in the scenery. Initially your…

A: Given: The initial frequency of the tyre is 3 times/second. The time interval is

Q: A ball, hung on a 1.5 m long string, is pushed so that it starts to circle in a horizontal plane.…

A: length of string=1.5 m angle with half vertical axis=30 degree

Q: An air puck of mass 0.223 kg is tied to a string and allowed to revolve in a circle of radius 0.73 m…

A: The centripetal force balances weight of the suspended mass, hence the suspended mass remains in…

Q: A tennis ball, starting from rest, rolls down the hill in the figure. At the end of the hill the…

Q: a) the angular acceleration b) the angle through which each wheel has rotated.

A: Angular Acceleration The angular acceleration of a rotating body is defined as the rate of change of…

Q: Two masses m, and m, with m, > m, are on a turntable (CD-DVD) that steadily speeds up, starting from…

A: Centrifugal force: When a body is placed in a rotating frame, then it experiences a force away from…

Q: Suppose a piece of dust is stuck to a CD such that it does not slip even when the CD is spinning.…

A: Given:- A piece of dust is stuck to a CD such that it does not slip even when the CD is spinning.…

Q: A rotating platform of radius R = 2.7 cm is initially at rest. It then begins to move, such that a…

A: (a)The equation for the radial acceleration is given by, The radial acceleration is,

Q: A spectator standing in the center of a circular running track observes a runner starting a practice…

A: Given data: Radius of the circular track, r=256 m Time taken to cover the distance, t=20.0 s

Q: Flying Circus of Physics When a slice of buttered toast is accidentally pushed over the edge of a…

Q: A disk-shaped space station 200 m in diameter spins uniformly about an axis perpendicular to the…

A: Since the diameter of the disk is 200m, the radius will be 100m. The equation for the centripetal…

Q: A disk-shaped space station has been built by Professor Trout. It is in outer space at this moment.…

Q: A small polished glass ball P of mass mrall = 20 g moves on the inside smooth surface of a spherical…

Q: À puck of mass m = 1.10 kg slides in a circle of radius r = 19.0 cm on a frictionless table while…

Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

A bowling ball of mass M and radius Ris at rest on the floor of a stationary train car.
rere is sufficient friction between the ball and the floor such that the ball will roll without
Slipping. If the train begins to accelerate forward with acceleration a relative to the earth,
determine the linear acceleration (magnitude and direction) of the bowling ball as seen
from
a. A passenger on the train
b. A person at rest relative to the earth.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Two are balls situated one on top of the other and the lower one is fixed to the ground. The ball on top rolls down the lower one without slipping and falls off. What is the angle 0 at which the two balls loose contact? Both balls are of mass m and radius R.
The reference frame below is rotating with a constant angular velocity of 8,2k rad/s while point A is moving along the +x-direction with a constant velocity of 7,8 m/s. Determine the magnitude of the acceleration of point A with respect to the inertial frame whose origin is attached at point B. 1m Yanıt
Q4.) A 10 g bullet traveling at 450 m/s strikes a 10 kg, 820 mm-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open. How long does it take for the door to swing open 90° assuming negligible friction at the hinge? Q5.) A merry-go-round spins with a period of 1 second. It consists of a cylindrical disk with m=100 kg and radius = 1.5 m. You jump on the merry-go-round with a running start. Draw a picture to indicate where you should aim to land on the merry-go-round and the best angle of approach in order to achieve the largest possible change in angular momentum. If you weigh 70 kg, what is the minimum speed you must run in order to make it spin with the same speed in the opposite direction?
need help with this problem
Current Attempt in Progress In an automatic clothes drier, a hollow cylinder moves the clothes on a vertical circle (radius r = 0.516 m), as the drawing shows. The appliance is designed so that the clothes tumble gently as they dry. This means that when a piece of clothing reaches an angle of 0 above the horizontal, it loses contact with the wall of the cylinder and falls onto the clothes below. How many revolutions per second should the cylinder make in order that the clothes lose contact with the wall when 0 = 57.0°? Number eTextbook and Media Save for Later Units > //education.wiley.com/was/ui/v2/assessment-player/index.html?launchid=87c04f9d-f34c-4936-9853-f4158c3e5e24# Attempts: 1 of 5 used Submit Answer
Q2: Three planets of identical mass m are interacting gravitationally (no other force). These planets are assumed to be at the vertices of the triangle with all sides of length L. Consider the motion of any one of the planets about the center of mass COM of the system, determine the special angular velocity that will keep L constant.
c) A cylindrical space-ship has a total mass of 3000 kg and a diameter of 3.0 m. The space- ship is rotating with an angular velocity of 0.4 rad s'. Two rockets are used to stop the rotation, as shown FIGURE 2.
Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 380 rpm, and the piece of dust is 4.0 cm from the center, what is the total distance (in m) traveled by the dust in 9 minutes? (Ignore accelerations due to getting the CD rotating.)
A half dollar coin is rotating on a turn table like the one you used in lab. At a radial distance from the rotation center of 7 cm, the coin is observed to slide off the turn table. The turn table is measured to be rotating at 8 radians per second when the coin slides. The angular acceleration is constant. The coin is repositioned to a radius of 10 cm. Calculate the angular velocity of the turn table at which the coin will slide off the table at this new radial position. For simplicity, assume the total angular acceleration is equal to the radial acceleration
In 2015, in Warsaw, Poland, Olivia Oliver of Nova Scotia broke the world record for being the fastest spinner on ice skates. She achieved a record 342 rev/min, beating the existing Guinness World Record by 34 rotations. If an ice skater extends her arms at that rotation rate, what would be her new rotation rate? Assume she can be approximated by a 45-kg rod that is 1.7 m tall with a radius of 15 cm in the record spin.With her arms stretched take the approximation of a rod of length 130 cm with 10% of her body mass aligned perpendicular to the spin axis. Neglect frictional forces.
When a fan is turned off, its angular speed decreases from 168 rpm to 64.0 rpm in 6.08 s. A) what is the angukar acceleration of the fan? B) How fast the edges of the blades are moving (in m/s) at time 6.08 s, if they are 86.0 cm long?
An LP record rotates at 33.33 revs/min. A penny is placed flat on the record a distance 8cm from the center of the record. The coefficient of static friction between the record and the penny is ?s. If the penny does not slide on the record, what is the minimum value of ?s ?