The board rests on the surface of two drums. At the instant shown, it has an acceleration of 0.48 m/s? to the right, while at the same instant points on the outer rim of each drum have an acceleration with a magnitude of 3.8 m/s?. If the board does not slip on the drums, determine its speed in m/s due to the motion. r = 10.3 in a

The board rests on the surface of two drums. At the instant shown, it has an acceleration of 0.48 m/s? to the right, while at the same instant points on the outer rim of each drum have an acceleration with a magnitude of 3.8 m/s?. If the board does not slip on the drums, determine its speed in m/s due to the motion. r = 10.3 in a

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 56AP: Keratinocytes are the most common cells in the skins outer layer. As these approximately circular...

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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.)
The clutch system is used to transmit torque through a 2-mm-thick oil film with m = 0.38 N?s/m2 between two identical 30-cm-diameter disks. When the driving shaft rotates at a speed of 1450 rpm, the driven shaft is observed to rotate at 1398 rpm. Assuming a linear velocity profile for the oil film, determine the transmitted torque.
1. An object is attached to a 1-m string and completes 5 rotations in 1 second. Find the (a)tangential velocity, (b)angular velocity of the object and (c) angular acceleration. 2. An object moving in uniform motion has a centripetal acceleration of 12m/s2. If the radius ofthe motion is 3cm, what is the frequency of the motion? 3. The angular position of a particle is given by the equation θ(t) = sin 3t+ 3t^2. Determine theangular velocity and angular acceleration as a function of time. What is the angular position,angular velocity, and angular acceleration of the particle at the start if motion? 4. Calculate the centripetal acceleration for an object on the surface of radius 4000 km and, and the day is equal to 120 000 seconds. 5. A particle is moving along a circular path of radius 1.5 m and has an angular velocity of 10 /s.What is the particle’s radial acceleration? What is the particle’s tangential velocity? 6. An object sweeps out a central angle of π/2 radians in 0.50. seconds as…
Consider that instead of the force F, a block with mass m = 0.32 kg (with force F = 3.139 N) and radius R = 13.0cm is attached to the cylinder with a massless string (see Figure). The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves a distance 0.5647 m in a time interval of 0.57 s. Find Icm of the new cylinder.
An elevator cable winds on a drum of radius 75.6 cm that is connected to a motor. A) If the elevator moves down at 0.520 m/s, what is the angular speed of the drum? in rev B) If the elevator moves down at 0.520 m/s, what is the drum’s frequency of rotation? in Hz
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Assume that the physical pendulum in a grandfather's clock is composed of a uniform rod (mass mrod = 5M, length Lrod = 10R) pivoted at the top, with its lower end connected to a uniform disk (mass mdisk = M, radius rdisk = R). The expressions for the moments of inertia about the centers of mass are: Irod = (1/12) mrod Lrod2 and Idisk = (1/2) mdisk rdisk2. Using the parallel axis theorem for both (rod and disk), find the moment of inertia of the system about the pivot. Report your answers in terms of M and R. A. (1603/6) MR2 B. (1729/6) MR2 C. (259/6) MR2 D. (253/6) MR2
You are at a playground with a merry-go-round, which is initially sitting still. You push on it, causing it to accelerate in the angle at a rate of 1.2 rad/s2. If you push for 3 seconds How many radians will the merry-go-round have turned through during that time?
There are more than 300 species of hummingbirds in the world and about 10 species regularly breed in the United States. One of which is the Ruby-throated Hmmingbird who can flap its wings with an angular speed of 332 rad/s. Calculate the period of its flapping motion.
11. A disk of mass M and diameter D is spinning at a frequency f. a.) How much friction force must the brake apply to the rim to bring the disk to a halt in at time t? b.) Assume M = 2.0 kg, D = 0.3 m, f = 300 rpm, and t = 3.0 s, calculate the value of the friction force with two significant digit.
Two gears A and B are turning in mesh. Gear A’s radius to the point of contact between the gears is 8.00 cm and that of gear B is 4.00 cm. If gear A has an initial frequency of 0.955 Hz and an angular acceleration of 1.50 rad/s2, how many rotations does gear A go through in 1.00 s? rotations If gear A has an initial frequency of 0.955 Hz and an angular acceleration of 1.50 rad/s2, how many rotations does gear B go through in 1.00 s? rotations