A thin rod of mass M and length L is pivoted on a frictionless hinge at one end, as shown. The rest horizontally and then released. Gravity acts on the rod and accelerates it. What is the angular acceleration of the rod right after the release, ao, and what is it when it passes the vertical position, a()? (A) ao = a(즐)= CM (B) ao %3D 유 and a() %3D0 (C) ao =D and a(품) =D CM (D) ao 3D and a(플) %3D0 (E) ao %3D 부 and a(플) %3D우 (F) ao %3D D and a(플) %3D부 A thin rod with a hinge at one end released from rest from the horizontal position.

A thin rod of mass M and length L is pivoted on a frictionless hinge at one end, as shown. The rest horizontally and then released. Gravity acts on the rod and accelerates it. What is the angular acceleration of the rod right after the release, ao, and what is it when it passes the vertical position, a()? (A) ao = a(즐)= CM (B) ao %3D 유 and a() %3D0 (C) ao =D and a(품) =D CM (D) ao 3D and a(플) %3D0 (E) ao %3D 부 and a(플) %3D우 (F) ao %3D D and a(플) %3D부 A thin rod with a hinge at one end released from rest from the horizontal position.

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: The uniform thin rod in the figure below has mass M = 5.00 kg and length L = 3.45 m and is free to…

Q: A wheel is rolling up a hill with a mass, M=13.1kg, a radius R=0.95m, and a moment of intertia…

A: Mass of wheel M = 13.1 kg Radius of wheel R = 0.95 m Moment of inertia I = 0.81 MR2 Maximum height…

Q: The angular velocity of a wheel increases from 10 to 30 rad/s in 5s when a constant torque 5Nm is…

A: The given question is based on angular motion to solve the given question we will write down the…

Q: A solid cylinder of radius 0.35 m is released from rest from a height of 1.8 m and rolls down the…

Q: *43. A thin rod (length = 1.50 m) is oriented vertically, with its bottom end attached to the floor…

Q: A machine part rotates at an angular speed of 0.054 rad/s; its speed is then increased to 1.9 rad/s…

A: (a) The expression for the angular speed ω2=ω02+2αθ Rearrange θ=ω2-ω022α Substitute θ=1.9…

Q: Two wheels of moment of inertia 8.6 kg.m and 13 kg m² are set in rotation with angular speed 2.1…

A: The situation provided in the question reassembles the condition of inelastic collision. Thus, apply…

Q: A disk with an initial angular velocity = 9 rad/sec experiences a constant angular acceleration…

A: Given,Initial angular velocity of the disk, ωi = 9 radsangular acceleration of the disc, α = 9…

Q: circular saw blade of diameter 0.215 m starts from rest. In a time interval of 5.95 s it accelerates…

Q: A circular saw blade of diameter 0.250 m starts from rest. In a time interval of 5.85 s it…

A: Given data: Diameter (d) = 0.250 m Time interval (t) = 5.85 s Initial angular velocity (ω0) = 0…

Q: A uniform rod with a mass of m= 1.63 kg and a length of /= 2.31 m is attached to a horizontal…

A: Given data- Mass of rod m=1.63 kg , length l=2.31 m angle= 70.1°

Q: A disk with moment of inertia 7.3 kg m^2 spins at 19 rad/s about its center axis. If a brake exerts…

A: Given : Moment of inertia, I = 7.3 kg m2 Angular velocity, ω = 19 rad/s Force, F = 80 N…

Q: A thin rod of mass M and length L is pivoted on a frictionless hinge at one end, as rest…

A: Determine the moment of inertia of the given rod about hinge by using the parallel axis theorem.…

Q: A dentist's drill starts from rest and undergoes uniform angular acceleration for a period of 0.200…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Time (t) = 0.200 s Final angular velocity (ω) =…

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: Suppose that you are holding a pencil balanced on its point. If you release the pencil and it begins…

A: The expression of torque in terms of angular acceleration τ=-mg(…

Q: A potter's wheel (1 = 6.3 kg-m²) spins at 24 rad/sec. A 2.4 kg glob of clay is dropped vertically…

Q: 3. A pulley, suspended from the ceiling, has a mass of 4.50 kg and a radius of 30.0 cm. A string is…

Q: A uniform solid sphere rolls without slipping down a 24° inclined plane. What is the acceleration of…

A: The angle of inclination of the plane with the horizontal is θ=24°. Assume the acceleration due to…

Q: Starting from rest, a disk rotates about its central axis withconstant angular acceleration. In 5.0…

Q: A 1.10 kg solid, uniform disk of radius 0.120 m is released from rest at point A in the figure…

Q: Starting from rest, a disk rotates about its central axis with constant angular acceleration. In…

A: d) The angular acceleration from the first part is calculated as 1.656 rad/s2.

Q: The spool has a weight of 30 lb and a radius of gyration ko = 0.45 ft. A cord is wrapped around its…

Q: hollow sphere with a radius of 0.24m, rolls down a 3.28m high ramp without slipping. If has an…

A: Givenm=0.82 kgr=0.24 mh=3.28 mω=0.37 rad/s

Q: How much time elapses while it turns through 300 radians? 11.0 s O 12.7 s O 15.8 s none of the above

Q: A string is wrapped around a pulley of radius 0.2 m and moment of inertia 0.4 kg m2. The string is…

A: The angular acceleration of the pulley can be given by α=τI=FrI

Q: The figure shows an overhead view of a ring that can rotate about its center like a merry-go-round.…

A: Outer radius, R2 = 0.9 m Inner radius , R1 = R22 = 0.45 m Mass , M = 7.7 kg Initial angular velocity…

Q: Starting from rest, a disk rotates about its central axis with constant angular acceleration. In…

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%

A thin rod of mass M and length L is pivoted on a frictionless hinge at one end, as shown. The
rest horizontally and then released. Gravity acts on the rod and accelerates it. What is the angular acceleration
of the rod right after the release, ao, and what is it when it passes the vertical position, a(5)?
(A) ao 3D a(플) %3D0
(B) ao %3D 유 and a(품) %3D0
(C) ao = and a() =
(D) ao 3D and a(품) %3D0
CM
(E) ao %3D and a(플) %3D우
(F) ao %3D D and a(플) %3D¥
A thin rod with a hinge at one end released from rest
from the horizontal position.

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 1Answer

VIEW

Step 2 Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 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

A circular disk has a rotational inertia of 1.4 kg.m? and a constant angular acceleration of 4.4 rad/s2. If it starts from rest the work done during the first 8.1 s by the net torque acting on it is:
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 1.00 s, it rotates 30.4 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 1.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 1.00 s? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units >
The angular acceleration of a wheel is a = 6.0t“ - 7.0t2, with a in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +6 rad/s and an angular position of +4 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). (a) Number t5. i t3+ i Units (b) Number i t6- i t4+ i t+ i Units
A net torque with a magnitude of 10.0 N.m acts on an object that starts at rest. Find the magnitude of the final angular speed after 7.0 seconds if the object is a thin spherical shell of 2.5 kg and radius 330 cm.
A motorcycle, which has an initial linear speed of 6.6 m/s,decelerates to a speed of 2.1 m/s in 5.0 s. Each wheel has a radius of 0.65 mand is rotating in a counterclockwise (positive) direction. What are (a) theconstant angular acceleration (in rad/s2) and (b) the angular displacement (inrad) of each wheel?
2. A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.35 × 104 rad/s to an angular speed of 3.65 × 10¹ rad/s. In the process, the bit turns through 1.92 × 10¹ rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 7.70 × rad/s, starting from rest? S ssfot €60 s OSISS ƒ60 3
An electric fan with angular velocity of 40 rad/s is operating in your room. Upon leaving the roomyou turn off the fan and after 32 revolutions it comes to rest. a) What is angular acceleration of eachblade? b) If the fan had angular velocity 80 rad/s and upon turning off, after 16 revolutions the fancome to rest. What is the angular acceleration of each blade?