A uniform solid sphere of mass 2.5 kg and radius 0,2 m rolls without slipping along a ramp 5.0 m long and inclined 30° with the horizontal. Find the angular velocity of the sphere at the bottom of the ramp.

A uniform solid sphere of mass 2.5 kg and radius 0,2 m rolls without slipping along a ramp 5.0 m long and inclined 30° with the horizontal. Find the angular velocity of the sphere at the bottom of the ramp.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 27P: A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is...

See similar textbooks

Related questions

Q: A uniform solid sphere of radius r = 0.520 m and mass m = 16.5 kg turns counterclockwise about a…

A: a solid sphere whose radius(r)=0.520m mass(m)=16.5 kg angular speed(ω)=2.8 rad/sec formula angular…

Q: A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center…

Q: A solid cylinder with a rotational inertia of (1/2)MR2 is released from rest and rolls without…

Q: A solid ball of mass 0.2 kg and radius 1.5 cm starts from rest then rolls without slipping down a…

A: mass = 0.2 kg r = 1.5 cm angle = 33 degree v at bottom = 2.5 m/sLet mass = m

Q: Compute the angular velocity in rad/sec of the crank shaft of an automobile engine rotating at…

A: The angular velocity of the crankshaft is 4800 rev/min 1 revolution=2π1 minute=60 s

Q: Find the moment of inertia of a rod with a mass of 0.5 kg and a length of 0.75 m when rotated about…

A: The moment of inertia of a rod whose axis of rotation goes through the centre of the rod is, I =…

Q: Express the angular acceleration of the disk as a function of time.

A: From the figure we can say that if the ball has acceleration a then the outer part of disk will have…

Q: A uniform, solid sphere of radius 3.00 cm and mass 2.50 kg starts with a purely translational speed…

A: The law of conservation of energy,

Q: A uniform, solid cylinder of radius 3.00 cm and mass 3.00 kg starts from rest at the top of an…

A: Radius =3cm Mass= 3kg L= 2m .θ = 25° To find = cylinder speed at the bottom of the ramp

Q: If the angular acceleration of a rigid body is zero, what is the functional form of the angular…

A: Write the expression for the relation between the angular acceleration and the angular velocity of a…

Q: A uniform solid 5.25-kg cylinder is released from rest and rolls without slipping down an inclined…

A: Given:- A uniform solid cylinder of mass=5.25 kg it rolls without slipping down an inclined plane…

Q: Show that the rotational inertia of a rectangular plate of sides a and b about an axis perpendicular…

A: The perpandicular axis thorem to calculate the moment of inertia is

Q: A couterclockwise torque of +1.10 N•m is applied to a bicycle wheel of radius 26 cm and mass 0.72…

A: Torque = 1.1 Nm Radius of ring = 26 cm = 0.26 m mass = 0.72 Kg Moment of inertia of a ring = M R 2…

Q: A solid cylinder of mass 2.7 kg and radius 0.64 m starts from rest at the top of a ramp, inclined…

Q: A 0.1-kg block is placed against a rotating hollow-cylinder of inner radius = 0.9 m. The cylinder…

Q: A solid cylinder of mass 0.6 kg and radius 0.58 m starts from rest at the top of a ramp, inclined…

A: mass of cylinder = 0.6 kg radius = 0.58 m θ = 24omoment of inertia of cylinder = 0.5 mR2h = 2.5 m

Q: A uniform solid sphere of radius r = 0.500 m and mass m = 15.0 kg turns counterclockwise about a…

Q: A uniform disk of mass 2 kg and radius 0.45m rolls without slipping down an inclined plane of length…

A: Mass, m=2 kg Radius, R=0.45 m Slope, θ=30°

Q: Express the angular velocity of the second hand on a clock in thefollowing units: (a) rev>h, (b)…

Q: If a rigid body has a constant angular acceleration, what is the functional form of the angular…

Q: A solid sphere of mass M and radius R rolls without slipping down a rough incline that makes an…

Q: A uniform solid cylinder of a radius of 10 cm and a mass of 3.0 kg is rolling on a frictionless flat…

A: the moment of inertia of a solid cylinder is given by, I=12mr2I=12(3)(0.10)2 I=0.015kgm2

Q: A hollow ball rolls along a horizontal surface at 2.5 m/s when it encounters an upward incline. if…

Q: The uniform solid block in the figure has mass 17.0 kg and edge lengths a = 0.851 m, b = 1.74 m, and…

Q: A uniform, solid cylinder of radius 7.00 cm and mass 5.00 kg starts from rest at the top of an…

Q: A uniform, solid sphere of radius 5.75 cm and mass 3.75 kg starts with a purely translational speed…

Q: The uniform solid block in the figure has mass 35.6 kg and edge lengths a = 0.863 m, b = 1.37 m, and…

A: Given: a = 0.863m B = 1.37m c = 0.140m M = 35.6 kg

Q: solid cylinder of mass 2.7 kg and radius 0.48 m starts from rest at the top of a ramp, inclined 28°,…

A: Given mass of cylinder = 2.7 kg Radius = 0.48 m Moment of inertia of cylinder = 0.5 × 2.7 (0.28)2 =…

Q: A uniform solid sphere of mass 25 kg and radius 0.2 m rolls without slipping along a ramp 5.0 m long…

A: Given: The mass of the sphere is 25 kg. The radius of the sphere is 0.2 m. The length of the ramp is…

Q: A machine part has the shape of a solid uniform sphere of mass 250 g and diameter 2.50 cm . It is…

A: Because of frictional force the torque produced is,

Q: A solid cylinder with a mass of (5 kg) and a radius of (0.2 m) (I =12MR2) is initially rolling along…

Q: A uniform sphere with mass 28.0 kg and radius 0.380 m is rotating at constant angular velocity about…

A: The kinetic energy for a rotating body is given as K.E=12Iω2…

Q: A solid cylinder (mass 0.272 kg, radius 2.00 cm) rolls without slipping at a speed of 5.00 cm/s.…

A: Solution: m =0.272 kg radius r=2 cm = 0.02 m speed v = 5 cm/s = 0.05 m/s

Q: A uniform sphere with mass 28.0 kg and radius 0.380 m is rotating at constant angular velocity about…

A: mass, m = 28 kg radius, r = 0.38 m Kinetic energy, K = 236 J

Q: A solid, uniform sphere of mass 2.0 kg and radius 1.7m rolls without slipping down an inclined plane…

Q: The uniform solid block in the figure has mass 33.5 kg and edge lengths a = 0.935 m, b = 1.43 m, and…

Q: Consider a cable that passes over a pulley that has a mass of 2.1 kg and a radius of 0.81 m but…

Q: A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an…

A: According to the conservation of energy, rotational kinetic energy , translational kinetic energy…

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

100%

3.
A uniform solid sphere of mass 2.5 kg and radius 0,2 m rolls without slipping along a ramp
5.0 m long and inclined 30° with the horizontal. Find the angular velocity of the sphere at
the bottom of the ramp.

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

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

Suppose you start an antique car by exerting a force of 300 N on its crank for 0.250 s. What angular momentum is given to the engine if the handle of the crank is 0.300 m from the pivot and the force is exerted to create maximum torque the entire time?
A constant torque is applied to a rigid body whose moment of inertia is 4.0kgm2 around the axis of rotation. If the wheel starts from rest and attains an angular velocity of 20.0 rad/s in 10.0 s, what is the applied torque?
Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.
A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is 30 . The coefficient of kinetic friction on the surface is 0.400. What is the angular acceleration of the solid cylinder? What is the linear acceleration?
A potters wheel moves uniformly from rest to an angular speed of 1.00 rev/s in 30.0 s. (a) Find its average angular acceleration in radians per second per second. (b) Would doubling the angular acceleration during the given period have doubled the final angular speed?
What is the angular velocity of a 75.0-cm-diameter tire on an automobile traveling at 90.0 km/h?
A truck with 0.420-m-radius tires travels at 32.0 m/s. What is the angular velocity of the rotating tires in radians per second? What is this in rev/min?
A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.500 rev/s. What is its angular velocity after a 22.0-kg child gets onto it by grabbing its outer edge? The child is initially at rest.
What is- the magnitude of the angular acceleration of a 25.0-kg disk of radius 0.800 m when a torque of magnitude 10.0 N m is applied to it? (See Section 8.5.)
A 40.0-kg solid cylinder is rolling across a horizontal surface at a speed of 6.0 m/s. How much work is required to stop it?
Conservation of Angular Momentum 52.A disk of mass 2.0 kg and radius 60 cm with a small mass of 0.05 kg attached at the edge is rotating at 2.0 rev/s. The small mass suddenly separates from the disk. What is the disk’s final rotation rate?
Check Your Understanding The fan blades on a jet engine have a moment of inertia 30.0kgm2 . In 10s, they rotate counterclockwise from rest up to a rotation rate of 20 rev/s. (a) What torque must be applied to the blades to achieve this angular acceleration? (b) What is the torque required to bring the fan blades rotating at 20 rev/s to a rest in 20s?