A solid wooden spherical body 1.2 m in diameter and of mass 600 kg, rolls without slipping down an incline but is restrained by the force P of 900 N, as shown in the figure. (a) Determine the acceleration à of its center of gravity. (b) Will it skid when μ = 0.3? Show proof. 17 0.6 m W 15 8 A P "

A solid wooden spherical body 1.2 m in diameter and of mass 600 kg, rolls without slipping down an incline but is restrained by the force P of 900 N, as shown in the figure. (a) Determine the acceleration à of its center of gravity. (b) Will it skid when μ = 0.3? Show proof. 17 0.6 m W 15 8 A P "

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: A rope of negligible mass is wound round a hollow cylinder of mass 6 kg and radius 80 cm. What is…

A: The moment of inertial of the cylinder about its geometric axis is

Q: A solid cylinder starts from rest and rolls down an incline that is 6.50 m high without slipping.…

Q: A point on the rim of a wheel moves with speed of 200 feet per second. Find the angular velocity of…

A: Given data: Linear speed (v) = 200 feet/sec Diameter (d) = 8 feet Required: The angular velocity…

Q: To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle…

A: assume that the arm starts extended vertically down ward and take the elbow joint is the point at…

Q: A flywheel in the form of a uniformly thick disk of radius 1.78 m has a mass of 25.6 kg and spins…

A: This question can be solved using the formulas: ω = ω0 + αt and τ = Iα The answer is contained in…

Q: A solid ball of radius 45.0 cm and mass 7.00 kg starts from rest and rolls without slipping down a…

Q: Using a forked rod, a 0.6-kg smooth peg P is forced to move along the vertical slotted path r= (0.5…

A: Both normal force and force can be calculated by taking equilibrium along the axis. TO begin with,…

Q: A spinning wheel steadily slows from an initial angular velocity of 1.95 rev/s to 0.495 rev/s in…

A: Given data: Initial angular velocity (ω0) = 1.95 rev/s Final angular velocity (ω) = 0.495 rev/s Time…

Q: If the rotational inertia of a disk is 30 kg m2, its radius R is 2.2 m, and its angular velocity…

Q: A grinding wheel is a uniform cylinder with a radius of 8.00 cm and a mass of 0.680 kg. Calculate…

A: Given Data: Radius R=8 cm=0.08 m Mass m=0.68 kg Initial rotational speed is N1=1750 rpm or…

Q: The body in figure below is pivoted at O. Three forces act on it: FA = 10 N at point A, 8.0 m from…

Q: A 2.80 kg grinding wheel is in the form of a solid cylinder of radius 0.100 m. (a) What torque will…

Q: A dentist's drill starts from rest. After 3.20 s of constant angular acceleration it turns at a rate…

Q: A uniform solid disk rolls without slipping down an incline making an angle θ with the horizontal.…

A: Given:A uniform solid disk rolls without slipping down an incline making an angle θ with the…

Q: (a) A uniform solid disk rolls without slipping down an incline making an angle e with the…

A: (a) The net torque on disc Tnet = I*alpha = I*(a/R) Tweight = m*g*R*sin(theta) m*g*R*sinθ =…

Q: A merry-go-round accelerates from rest to 0.63 rad/s in 33 s. Assuming the merry-go-round is a…

Q: NUME RICAL QUESTIONS O If the plate microwave oven has a radius of 0.15 m and rotates at 60 rev/min,…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: m 13.0 kg and m, 21.0 kg attached by a cord running over a pulley as in the figure below. The pulley…

Q: A merry-go-round accelerates from rest to 0.63 rad/s in 39 s Assuming the merry-go-round is a…

A: Given, Initial angular speed, Final angular speed, Time, Mass of merry-go-round, Radius of…

Q: A spinning wheel steadily slows from an initial angular velocity of 2.30 rev/s to 0.520 rev/s in…

A: GIVEN : Initial angular velocity = ωi = 2.3 rev/s = 2.3 x 2π rad/s = 4.6π rad/s Final angular…

Q: the acceleration of gravity.) a disk" (b) A uniform thin circular ring rolls without slipping down…

A: Newton's Second Law of motion According to Newton's Second Law of motion, the rate of change of…

Q: A merry-go-round accelerates from rest to 0.62 rad/s in 31s. Part A Assuming the merry-go-round is…

A: Given : Mass (M) = 3.10×10^4 kg; Angular acceleration (ω) = 0.62 rad/s Time (t)= 31s; Radius (r) = 8…

Q: A block of m5.00 kg is attached to the free end of a string wrapped around a reel of radius R0.080 m…

A: Visualize the Problem:

Q: A disk with a radius of 1.20cm rolls in a straight line across a flat, horizontal surface. If the…

A: Given data The radius of the disk is R=1.20 cm. The initial angular speed is ωo=18.0 rad/s The final…

Q: The 55-lb wheel has a radius of gyration about its center of gravity G of kg = 0.7 ft. If it rolls…

A: Given: Radiation of gyration=55 lb kG=0.7 ft k=1.20lb/ft l=0.7ft x0=0.7

Q: leulaté the linear speed of the tip. 3. A gyroscope slows from an initial rate of 32.0 rad/s at a…

A: Part (a): The angular acceleration of the gyroscope is,

Q: You have a grindstone (a disk) that is 93.0 kg, has a 0.370-m radius, and is turning at 63.0 rpm,…

A: Given Data Mass of the grindstone is m=93.0 kg Radius of the grindstone is r=0.370 m Initial angular…

Q: In the figure here, a cylinder having a mass of 4.5 kg can rotate about its central axis through…

Q: A dentist's drill starts from rest. 'After 4.60 s of constant angular acceleration it turns at a…

Q: A flywheel in the form of a uniformly thick disk of radius 2.03 m has a mass of 58.1 kg and spins…

A: Given, Radius of disk 2.03 m and mass is 58.1 kg and angular speed is 179 rpm and stop in 3.50…

Q: 2.50 kg solid sphere of radius 1.25 m is rolling with a translational velocity of 7.50 m/s along a…

A: Given Mass m = 2.5 kg Radius R = 1.25 m Translational Velocity v = 7.5 m/s

Q: A horizontal plate OAB of a triangular shape is pivoted at point O. Three forces act c the plate as…

A: Answer...

Q: A child exerts a tangential 53.4-N force on the rim of a diskshaped merry-go-round with a radius of…

A: The expression for torque is,

Q: Suppose you exert a force of 180 N tangential to a 0.280-m-radius 75.0-kg grindstone (a solid disk).…

A: Given: The force is 180 N. The radius is 0.280 m. The mass of the grindstone is 75.0 kg.

Q: You have a grindstone (a disk) that is 89.0 kg, has a 0.370-m radius, and is turning at 63.0 rpm,…

A: Given: The mass of the disk is m=89 kg. The radius is r=0.370 m. The number of turns is ω0=63 rpm.…

Q: A hollow, spherical shell with mass 3.00 kg rolls without slipping down a 39.0 ∘ slope. (a)Find the…

Q: You pedal your bicycle so that its wheel’s rotational speed changes from 5.0rad/s to 8.0 rad/s in…

Q: A light rope wrapped around a disk-shaped pulley is pulled tangentially with a force of 0.51 N.Find…

Q: An oil film (n = 1.46) floats on a water puddle. You notice that green light (A = 520 nm) is absent…

Q: solid cylinder is rolling along a horizontal surface. It has a speed of 4.50 m/sm/s when it comes to…

A: Given values:- Speed,(Vcm)=4.5 m/sec ----(1) Angle of inclination,(θ)=40 0 ----(2) Acceleration due…

Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

A solid wooden spherical body 1.2 m
in diameter and of mass 600 kg, rolls
without slipping down an incline but
is restrained by the force P of 900 N,
as shown in the figure. (a) Determine
the acceleration à of its center of
gravity. (b) Will it skid when µ = 0.3?
Show proof.
0.6 m
W
17 8
15
A
"

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

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

A sphere of radius r =34.5 cm and mass m = 1.80 kg starts from rest and rolls without slipping down a 30.0∘ incline that is 10.0 m long. - Calculate its translational speed when it reaches the bottom. - Calculate its rotational speed when it reaches the bottom. - Avoid putting in numbers until the end so you can answer: do your answers in previous parts depend on the radius of the sphere or its mass? (Mult choice) a. Only the angular speed depends on the radius. None of the results depend on the mass. b. The angular and the translational speeds depend on the radius and on the mass. c. The angular and the translational speeds depend on the radius. None of the results depend on the mass. d. Only the translational speed depends on the radius. None of the results depend on the mass.
A flywheel in the form of a uniformly thick disk of radius 1.63 m has a mass of 37.1 kg and spins counterclockwise at 463 rpm. Calculate the constant torque required to stop it in 3.00 min.
Calculate the translational speed of a cylinder when it reaches the foot of an incline 6.80 mm high. Assume it starts from rest and rolls without slipping.
A hollow sphere of radius 2 m rolls without slipping as shown in the figure below. If h =5m the maximum height on the incline it reaches before rolls back down, what was the initial angular speed of the sphere, wo? Ignore air resistance.
A solid sphere starting from rest rolls down a 30.0o incline. Determine the center of mass speed of the sphere after traveling 2.00 m down the incline.
A 2.05 kg mass is attached to a light cord that is wrapped around a pulley of radius 4.25 cm, which turns with negligible friction. The mass falls at a constant acceleration of 3.10 m/s?. Find the moment of inertia of the pulley?
h A solid sphere rolls without slipping down an incline. At the top it is at rest. What is the linear speed at the bottom? Parameters: ] mass = m = 4.3 kg; angle of the incline height of the ramp = h = 1.10 m; horizontal length of the ramp = L = 3.02 m. (in m/s) = 20 degrees; A: 3.356 OB: 3.926 OC: 4.594 OD: 5.375 OE: 6.288 OF: 7.357 OG: 8.608 OH: 1.007x10¹
A solid cylinder with mass mm and radius rr rolls without slipping down an incline that makes a 29.5° with the horizontal. What is the acceleration of the cylinder?
A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 11.0 rev/s; 30.0 revolutions later, its angular speed is 25.0 rev/s. Calculate la) the angular acceleration (rev/s1. (b) the tirne required to complete the 30.0 revolutions, (c) the time required to reach the 11.0 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 11.0 rev/s angular speed. ja) Number Unit įb) Number Unit (c) Number Unit (d) Number Unit
A rope of negligible mass is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? What is the linear acceleration of the rope? Assume that there is no slipping.
A merry-go-round accelerates from rest to 0.72 rad/s in 37 s. Assuming the merry-go-round is a uniform disk of radius 8.0 m and mass 3.20×104 kg , calculate the net torque required to accelerate it.
(a) Calculate the linear acceleration of a car, the 0.240-m radius tires of which have an angular acceleration of 15.0 rad/s?. Assume no slippage and give your answer in m/s2. m/s? (b) How many revolutions do the tires make in 2.50 s if they start from rest? rev (c) What is their final angular velocity in rad/s? rad/s (d) What is the final velocity of the car in m/s? m/s Additional Materials O Reading