Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m2. The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R ai T1 |T2 m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s?

Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m2. The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R ai T1 |T2 m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s?

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 15CQ

See similar textbooks

Related questions

Q: An 8.0-cm diameter hard disk spinning at 7200 rpm can stop in 19 revolutions. a) What is the…

Q: A circular flywheel, with a diameter of 21 cm, accelerates uniformly from 22 rpm to 73 rpm in 2.3 s.…

A: diameter of flywheel (d) = 21 cm Radius of flywheel (R) = 10.5 cm Initial angular velocity = 22 rpm…

Q: The drive propeller of a ship starts from rest and accelerates at 2.55 × 103 rad/s? for 2.35 × 103…

A: The drive propeller of a ship starts from rest and accelerates at For the next the propeller…

Q: Peg P is driven by the fork link OA along the curved path described by r= (20) ft. At the instant 0…

Q: In the figure, the pulley has a frictionless axle. It has two grooves for the cord to wrap around:…

A: The free-body diagram is shown below.

Q: A circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is…

Q: At a time t = 3.40 s, a point on the rim of a wheel with a radius of 0.180 m has a tangential speed…

A: t = 3.4 s r = 0.180 m v = 45 m/s atan = 10.6 m/s2 To find = a) constant angular acceleration…

Q: A turntable is off and is not spinning. A 0.9 g ant is on the disc and is 14 cm away from the…

A: The objective of the question is to determine the angular velocity, linear velocity, angular…

Q: A 230-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley…

Q: During a very quick stop, a car deceleraes at 7.00 m/s^2. a. What is the angular acceleration of…

Q: Two gears are connected by a chain. The larger gear has a linear velocity of 12 inches per second.…

A: linear velocity (v) of larger gear = 12π5 inchsAngular velocity (ω) of smaller gear= 32π3 radmin

Q: 3.0 kg solid cylindrical wheel has a radius of 54 cm. Two forces are applied to it as shown in the…

Q: The angular velocity of a flywheel obeys the equation wz(t) = A + Bt², where t is in seconds and A…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: circular disk with a radius of 0.37 m is subject to 2 tangentially applied forces. The disc is fixed…

Q: A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought the center O. A rope…

A: Given that :m=10 kgR1 = 1.0 mR2 = 0.50mF1 = 3 NF2 = 9 N

Q: A ceiling fan with 90.0 cm diameter blades is turning at 45.0 rpm. Suppose the fan coasts to a stop…

A: The diameter of the blades of the fan, d=90.0 cm=0.900 m The radius of the blades of the fan,…

Q: A figure skater begins spinning counterclock- wise at an angular speed of 4.9 T rad/s. Dur- ing a…

A: Given, Initial angular speed,ωi=4.9π rad/s Final angular speed,ωf=7.3π rad/s Time,t=4.8 s

Q: otating with an unknown ngular velocity, at that in: ach tire starts acceleratin n angular…

A: The angular acceleration of the tires = 3.0 rev/sec2 The time t = 5.0 sec The number of turn = 50…

Q: A stone of mass 100 g is whirled in a horizontal circle at the end of a cord 1 m long. If the…

A: Given that:A stone s whriled in horizontal circle.m=100g=0.1 kgr=1 mT=2.5 N

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

Two masses m1
3.2 kg and m2
1.6 kg hang from a pulley as shown in the
figure. The moment of inertia through the axis of rotation passing through the
center of the pulley is I = 2 kg m². The ropes holding the masses are attached to
opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley.
R
T1
T2
mị
m2
Find the magnitude of the angular acceleration a of the pulley system.
Pick the correct answer
4.9 rad/s?
,2
7.4 rad/s?
2.5 rad/s?
-7.4 rad/s?
9.8 rad/s?
15

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

A system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with respect to each other. The masses and distances to the axis of the point particles are m1=0.1kg , r1=0.2m , m2=0.05kg , r2=0.4m , m3=0.5kg , r3=0.01m . (a) What is the moment of inertia of the system? (b) What is the rotational kinetic energy of the system?
Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23
A rope of negligible mass is wrapped around a 225 kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction, (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? (b) What is the angular acceleration of the cylinder? (c) if the mass of the rope were not neglected, what would happen to the angular acceleration of the cylinder as the man falls?
A gymnast does cartwheels along the floor and then launches herself into the air and executes several flips in a tuck while she is airborne. If her moment of inertia when executing the cartwheels is 13.5kgm2 and her spin rate is 0.5 rev/s, how many revolutions does she do in the air if her moment of inertia in the tuck is 3.4kgm2 and she has 2.0 s to do the flips in the air?
In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m from the center. He then mountsthe tire in a vertical plane and notes that the radius vector to thespot is at an angle of 35.0 with the horizontal. Starting from rest,the tire is spun rapidly with a constant angular acceleration of 3.00 rad/s2. a. What is the angular speed of the wheel after 4.00 s? b. What is the tangential speed of the spot after 4.00 s? c. What is the magnitude of the total accleration of the spot after 4.00 s?" d. What is the angular position of the spot after 4.00 s?
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?
Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is its angular acceleration in rad/s2? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the radial acceleration in m/s2 and multiples of g of this point at full rpm?
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 point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.
Keratinocytes are the most common cells in the skins outer layer. As these approximately circular cells migrate across a wound during the healing process, they roll in a way that reduces the frictional forces impeding their motion. (a) Given a cell body diameter of 1.00 105 m (10 m), what minimum angular speed would be required to produce the observed linear speed of 1.67 107 m/s (10 m/min)? (b) How many complete revolutions would be required for the cell to roll a distance of 5.00 103 m? (Because of slipping as the cells roll, averages of observed angular speeds and the number of complete revolutions are about three times these minimum values.)
An aircraft is coming in for a landing at 300 meters height when the propeller falls off. The aircraft is flying at 40.0 m/s horizontally. The propeller has rotation rate of 20 rev/s, a moment of inertia fo 70.0kgm2 , and mass of 200 kg. Neglect air resistance. (a) With what translational velocity does the propeller hit the ground? (b) What is the rotation rate of the propeller at impact?
The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 2.00 cm and is rolled by the beetle at 6.25 cm/s. (a) What is the rolling balls angular speed? (b) How many full rotations are required if the beetle rolls the ball a distance of 1.00 m?