A meterstick is set on the edge of a table so that all but a negligible bit of its length is off the edge of the table as shown. The meterstick is released from rest horizontally. The meterstick's mass is M and its length is L. The rotational inertia of the meterstick around the end is I =ML.

A meterstick is set on the edge of a table so that all but a negligible bit of its length is off the edge of the table as shown. The meterstick is released from rest horizontally. The meterstick's mass is M and its length is L. The rotational inertia of the meterstick around the end is I =ML.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...

See similar textbooks

Related questions

Q: A spinning figure skater who brings their arms close in to their body will then spin faster. The…

Q: Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 2.82…

Q: A rod of length 20 cm has two beads attached to its ends. The rod with beads starts rotating from…

Q: Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 6.48…

A: Given Rb=6.48Ra We are going to use

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A: Given Information:- Radius of the horizontal platform is R=3.56 m Moment of inertia of the circular…

Q: A wheel of mass 1Kg and a radius of 0.5 meters is initially at rest. A constant torque of 6 Nm is…

Q: A ceiling fan is made from a cylindrical plate with a mass of 900.0 g and a radius of 11.0 cm. Three…

A: In this question we are given that a ceiling fan is made from a cylindrical plate with a mass of…

Q: A 0.200 kg meterstick is hinged at one end and connected to a wall. It is held horizontally (i.e.,…

Q: Disk 1 Disk 2

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A: Initial angular speed (ω) = 10 rpm Final angular speed (ω') = 36.5 rpm Initial distance of weights…

Q: In the caber toss, a contest of strength and skill that is part of Scottish games, contestants toss…

Q: A roller in a printing press turns through an angle θ(t)θ(t) given by θ(t)=γt2−βt3θ(t)=γt2−βt3,…

Q: A turntable (disk) of radius r= 25.0 cm and rotational inertia 0.395 kg m rotates with an angular…

A: Given:- radius of the disk = 25.0 cm rotational inertia I1 = 0.395 kg/m2…

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A: Given: Initial angular speed, ω₁ = 10.0 rpm distance of the weight from the axis of rotation, r₁ =…

Q: A playground carousel is rotating counterclockwise about its center on frictionless bearings. A…

Q: The figure shows three uniform solid disks, each of mass 9.4 kg and radius 0.5 m rotating…

Q: A cylindrical shaped object of mass 5.0 kg and radius 0.25 m is rotating at 11 rad/s. An object is…

A: Moment of inertia of a point particle with mass m at a distance r from the axis of rotation is given…

Q: Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 5.39…

Q: What is the new angular speed? in rad/s She then walks to the center and stay there. What is the…

A: a) As per the conservation law of angular momentum. Here, IP, IC, ω, vC, m, and R represent the…

Q: A disk has a moment of inertia of 2.50 x 10°2 kg-m² and spins on a frictionless axis through its…

A: Here we use the conservation of Angular Momentum Idisk=2.5x10-2kg-m2 Initial Angular…

Q: Consider a person who is sitting on a frictionless rotating stool. The person initially has his arms…

A: accordind to conservation of angular momentum I₁w₁=I₂w₂

Q: Ice skaters can increase the angular speed of their spins by pulling their arms towards their body.…

Q: A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m.…

A: The angular momentum of the system about the axis of roation, just before the ball is caught…

Q: A bicycle wheel with a radius of 350 mm and a mass of (2.40x10^0) kg is spinning freely on a work…

A: Solution - Angular momentum - The property of any rotating object given by moment of inertia times…

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A: Given Radius r=4.46m Inertia of disk I=289kgm2 Mass of student m=56.1 kg Initial angular speed…

Q: A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

Q: An 8 kg block is attached to a 20 kg pulley which is a solid disk of radius 2 m. The block is…

Q: (a)What is the moment of inertia (in kg · m2) of the system about the given axis? kg · m2 (b)If the…

A: Given value--- m1 = 0.83 kg ; r1 = 35 cm . m2 = 0.83 kg ; r2 = 15 cm. m3 = 0.83 kg ; r3 = 69 cm.…

Q: A helicopter has two blades (see figure), each of which has a mass of 270 kg and can be approximated…

A: Mass, m = 270 kgLength, L = 6.7 mAngular speed,

Q: Two disks are initially spinning, one above the other on a small axle that provides a small, but…

A: Apply conservation of angular momentum for the discs, and solve for the common final angular…

Q: In the figure, two particles, each with mass m= 0.88 kg, are fastened to each other, and to a…

A: Given, M=1.3 Kg m=0.88 kg d=5.6cm ω=0.28 rad

Q: Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of…

Q: Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 3.32…

A: Write the expression for the velocity as given below. v=rω Here, v is the velocity, r is the radius,…

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

Scenario
A meterstick is set on the edge of a table so that all
but a negligible bit of its length is off the edge of the
table as shown. The meterstick is released from rest
horizontally. The meterstick's mass is M and its
length is L. The rotational inertia of the meterstick
around the end is I =ML.
Ост
100cm
%3D

5. Solve for the angular velocity of the stick
at t/2 radians.

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

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

The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min. (a) If the blades are 6000 kg each and the rotor assembly has three blades, calculate the angular momentum of the turbine at this rotation rate. (b) What Is the torque require to rotate the blades up to the maximum rotation rate in 5 minutes?
A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m) rotating in a horizontal plane around the vertical axis through its center. The disk is rotating at 10.0 rad/s. The bug crawls to the center of the disk. (a) What is the new angular velocity of the disk? (b) What is the change in the kinetic energy of the system? (c) If the bug crawls back to the outer edge of the disk, what is the angular velocity of the disk then? (d) What is the new kinetic energy of the system? (e) What is the cause of the increase and decrease of kinetic energy?
The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?
A wheel is rotating about a fixed axis with constant angular acceleration 3 rad/s2. At different moments, its angular speed is 2 rad/s, 0. and +2 rad/s. For a point on the rim of the wheel, consider at these moments the magnitude of the tangential component of acceleration and the magnitude of the radial component of acceleration. Rank the following five items from largest to smallest: (a) |at| when = 2 rad/s, (b)|ar| when = 2 rad/s, (c)|ar| when = 0, (d) |at| when = 2 rad/s, and (e) |ar| when = 2 rad/s. If two items are equal, show them as equal in your ranking. If a quantity is equal to zero, show that fact in your ranking.
A baseball catcher extends his arm straight up to catch a fast ball with a speed of 40 m/s. The baseball is 0.145 kg and the catcher’s arm length is 0.5 m and mass 4.0 kg. (a) What is the angular velocity of the arm immediately after catching the ball as measured from the arm socket? (b) What is the torque applied if the catcher stops the rotation of his arm 0.3 s after catching the ball?
A top has moment of inertia 3.2104kgm2 and radius 4.0 cm from the center of mass to the pivot point. If it spins at 20.0 rev/s and is precessing, how many revolutions does it precess in 10.0 s?
A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can the total acceleration of the tether mass combination be zero If the angular velocity Is constant?
What is the angular velocity of a 75.0-cm-diameter tire on an automobile traveling at 90.0 km/h?
A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular cylinder of mass 1.0 kg with inner radius 20 cm and outer radius 30 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10 rev/s. (a) What is the moment of inertia of the system? (b) What is its rotational kinetic energy?
A buzzard (m = 9.29 kg) is flying in circular motion with aspeed of 8.44 m/s while viewing its meal below. If the radius ofthe buzzards circular motion is 8.00 m, what is the angularmomentum of the buzzardaround the center of its motion?
A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?
A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?