A rod of length L and mass M is fixed so that it can rotate around point O. As shown in the figure, if another rod of 1=4(m) perpendicular to the ground is pulled to the right with a constant velocity v= 3 (m/ s), what is the angular velocity (rad/s) of L rod at 1 (s)? !!

A rod of length L and mass M is fixed so that it can rotate around point O. As shown in the figure, if another rod of 1=4(m) perpendicular to the ground is pulled to the right with a constant velocity v= 3 (m/ s), what is the angular velocity (rad/s) of L rod at 1 (s)? !!

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 disk of radius R=139.8cm rotates about its central axis through O with a constant angular…

Q: An object at rest begins to rotate at t = 0 with constant angular acceleration. Aftera time t the…

A: (a) Kinematic relation for angular acceleration of angular acceleration

Q: A rope is wrapped around a cylinder of radius 0.2 meters. Starting from rest, the rope is pulled…

Q: A disk rotates around a fixed axis at its center with an angular velocity of 300 rad/s when it…

Q: To throw the discus, the thrower holds it with a fully outstretched arm. Starting from rest, he…

A: The objective of the question is to find the speed of the discus at the point of release. This can…

Q: A particle is moving along a circular path of radius 1.5 m and has an angular velocity of 10 rads/s.…

Q: cle crank arm, with a pedal at one end, is attached to a 21-cmcm-diameter sprocket, the toothed disk…

A: Given:- Assume constant angular acceleration. An 18-cm long bicycle crank arm The diameter sprocket…

Q: A cylinder rotating at 11 rad/s is accelerated to 41 rad/s in 12 s. What is the angular acceleration…

A: Given data: Initial angular velocity (ω0) = 11 rad/s Final angular velocity (ω) = 41 rad/s Time (t)…

Q: A 18 cm disk in radius is originally rotating at wo = 11 rad/s. If it is subjected to a constant…

A: Given : r = 18 cm = 0.18 m ωo = 11 rad/s α = 7 rad/s2 t = 0.63 sec

Q: A disk rotates about an axis through its center. Point A is located on its rim and point B is…

A: The Free Body Diagram : Angular velocity of A is denoted by, ωA Angular velocity of B is denoted…

Q: A 12 cm disk in radius is originally rotating at wo = 17 rad/s. If it is subjected to %3D a constant…

A: Given that,Angular velocity : ω0 =17 (rad/sec)Angular acceleration : α = 7 (rad/sec2)Number of…

Q: A fly wheel is rotating at 600 rpm about its axis. When the power goes off, it comes to Q. rest in 1…

A: This question is related to rotational dynamics. Have a look

Q: A pitcher throws a curveball that reaches the catcher in 0.64 s. The ball curves because it is…

A: Time to reach by the ball to reach= 0.64 s Av. angular Velocity= 260 Rev/minute

Q: 80, ential and components of a discus as it is being thrown. A discus thrower turns with angular…

Q: A uniform disk with radius R = [R} m and mass [M} kg rotates in a horizontal plane on a %3D…

Q: 4. A 2 m slender rod shown below slides along the horizontal and slope surfaces. At the instant…

A: It is given that, the length of the rod is, l=2 m, the angular velocity is, ω=2 rad/s and the…

Q: A wheel rotates with a constant angular acceleration of 2.00 rad/s?. If the angular speed of the…

A: Given, Angular acceleration, α=2rad/s2 Initial angular speed, ω0=2.9rad/s Time, t=2s According to…

Q: W [rad/s] 1 0 4 3 2 0 1 2 3 4 5 6 7 8 9 10 t [s] The graph above shows the angular velocity of a…

A: Step 1: Step 2: Step 3: Step 4:

Q: The angular speed of a rotating disk is given by the equation. = (2rad/s) + (3radts2)t What is the…

Q: To throw the discus, the thrower holds it with a fully outstretched arm. Starting from rest, he…

A: See below

Q: Suppose a circular disk is rotating at a rate of 60 revolutions per minute. a) Determine the angular…

Q: In Star Trek: The Next Generation, a Borg Cube is a cubical structure of 3.036 km on a side and…

A: Given, M=9.0×1010 kgV=27 km3a=3.036 km

Q: The angular speed of a rotating disk is given by the equation: 0 = (2radls) + (3rad/s2) What is the…

A: Given data: Angular velocity as function of time ω = (2rad/s) + (3rad/s2)t Required: Angular…

Q: The angular speed of a rotating disk is given by the equation: @ = (2rad/s) + (3rad/s?)t What is the…

Q: A uniform rod of length L= 8m and mass M =2 kg is attached at one end to a frictionless pivot and is…

Q: A solid sphere of radius 10.0 cm and mass 12.0 kg starts from rest and rolls without slipping a…

A: Apply principle of conservation of energy. Assume the edge of the incline is the reference line.…

Q: The disk, which has a mass of 27 kg, is subjected to the couple moment of M = (1.7θ + 4.5) N m,…

Q: The assembly shown consists of two rods and a rectangular plate BCDE that are welded together. The…

Q: A cord is wrapped around a cylinder of radius 0.2 meters, as shown in the figure. Starting from…

Q: A disk rotates about an axis through its center. Point A is located on its rim and point B is…

Q: At a particular instant an object at (r=2m and θ = 0 ) is moving such that its radial speed is 3 m/s…

Q: 18 N 0.3 m 12 N 1.0 m 0.5 m 16 N A 367 kg solid disk (with uniform density) is shown. Its rotation…

Q: what is the numeric answer

Q: A bug on the outside of a wheel rotates at a constant angular rate. You measure the bug to pass…

Q: An ice skater with moment of inertia, I is rotating with angular speed, W. The skater pulls her arms…

A: Given: The intial moment of inertia of the system is I. The initial angular speed is ω. The final…

Q: A track star runs a 275 m race on a 275 m circular track in 30 s. What is his angular velocity (in…

Q: a rider notices that the wheels of his bycicle make 12 rev in 15s. what is the average angular speed…

A: Given: The revolution of the wheel in 15 s is 12 rev. The radius of the wheel is 33 cm.

Q: A man is sitting on a flat disc that is rotating. The disc mass is 200 kg, with a radius of 3…

A: mass of disc (M) = 200 kg radius of disc (r) = 3 m mass of man (m) = 75 kg distance of man from…

Q: A person 1.56 m tall swings their leg from the hip at 1.51 radians/s. Calculate the linear…

A: Height of the person, h = 1.56 mAngular speed, ω = 1.51 rad/sThe linear tangential velocity is…

Q: A sphere, when released revolved about an axis, whose distance from the center of gravity of the…

Q: A barbell spins around a pivot at its center (see figure). The barbell consists of two small balls,…

Q: DELTA A 4.8 in. diameter grinder wheel is accelerating from rest with a constant angular…

A: This question provides the following information: The diameter of a grinder wheel is 4.8 inches.…

Q: 1. A potter's wheel of mass 10 kg and radius 30 cm radius can be modelled as a uniform disk. (a) The…

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

A rod of length L and mass M is fixed so that it can rotate around point O. As shown in the figure, if
another rod of 1=4(m) perpendicular to the ground is pulled to the right with a constant velocity
v= 3 (m/s), what is the angular velocity (rad/s) of L rod at t-
M

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

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

A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center. (A)What is the initial angular momentum, LJ, of John? (B)What is the total initial angular momentum of the system? (C)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?
A 2.00-cm radius disk has an angular acceleration of
The rectangular block shown rotates about the diagonal OA with a constant angular velocity of 5.8 rad/s. Knowing that the rotation is counterclockwise as viewed from A, determine the velocity and acceleration of point B at the instant shown. 5 in. 12 in. 15.6 in. 15.6 in. The velocity of corner Bis -( 32.123 in./s)i + ( 10.295 in./s)j - ( 13.38 in./s)k. The acceleration of corner Bis -(186.3134| in./s²)i – (| 31.0764 in. in./s²)j + o in./s2)k.
A carnival ride starts at rest and is accelerated from an initial angle of zero to a final angle of 6.3 rad by a counterclockwise angular acceleration of 2.0 rad/s?. What is the angular velocity at 6.3 rad?
A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center. A)What is the rotational inertia of the merry-go-round (consider it a disk)? B)What is the initial rotational inertia of John (consider him a point mass). C)What is the initial angular momentum, Lmgr, of the merry-go-round? (D)What is the initial angular momentum, LJ, of John? (E)What is the total initial angular momentum of the system? (F)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?
A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly one fourth of the way from the center toward the rim. What is the ratio of the angular velocity ?A to that of ?B, and the tangential velocity vA to that of vB? HINT (a) the angular velocity ?A to that of ?B ?A ?B = (b) the tangential velocity vA to that of vB vA vB =
A disk of radius R-37.3cm rotates about its central axis through O with a constant angular acceleration X =1.05rad/s2, as shown in the figure. At t 0, the initial tangential speed of a point P on the rim of the disk is Vo-12.64m/s. Find the final tangential speed v of the point P at any time t-17s. Express your answer using one decimal place.
Do b,c,d
a disc, starting from rest, undergoes a constant angular acceleration. It reaches an angular velocity of 3 radians/sec after rotating through a total angle of 4 radians. What is the value of its angular acceleration in radians/sec2?
A merry-go-round with a radius of 2.2m rotates 10.0 times every 5.00s. The merry go round has a mass of 100.0 kg. What is the ride’s angular momentum? If a torque of 5 N*m is applied for 15.0s, what is the change in the angular momentum?
If the magnitudes of the velocity and acceleration of point A of the rotating bar are VA - 3 m/s and aA = 27 m/s2, what is the magnitude of the angular velocity co?a=0.58 m, b=0.14 m, and c=0.81 m. B b 0), a
A playground merry-go-round has a mass of 133kg and a radius of 1.82m and it is rotating with an angular velocity of 0.424rev/s. What is its angular velocity after a 29-kg child gets onto it by grabbing its outer edge? The child is initially at rest.