Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 10, Problem 2P
A bar on a hinge starts from rest and rotates with an
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A bar on a hinge starts from rest and rotates with an angular acceleration α = 11 + 5t, where α is in rad/s2 and t is in seconds. Determine the angle in radians through which the bar turns in the first 3.60 s.
A bar on a hinge starts from rest and rotates with an angular acceleration α=(10+6t) rad/s^2, where t is in seconds. Determine the angle in radians through which the bar turns in the first 4.00s.
What are the units of the constant A?
A hollow, thin-walled sphere of mass 14.0 kg and diameter 49.0 cm is rotating
about an axle through its center. The angle (in radians) through which it turns as a
function of time (in seconds) is given by 0 (t) = At2 + Bt, where A has
numerical value 1.10 and B has numerical value 1.60.
O rad/s
O rad/s?
O rad/s'
O rad/s“
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Part B
What are the units of the constant B?
O rad/s
O rad/s²
O rad/s³
O rad/s
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Part C
At the time 3.00 s, find the angular momentum of the sphere.
A£
Lz =
kg m2/s
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Part D
At the time 3.00 s, find the net torque on the sphere.
N.m
Tz =
Chapter 10 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 10.1 - A rigid object rotates in a counterclockwise sense...Ch. 10.2 - Consider again the pairs of angular positions for...Ch. 10.3 - Ethan and Rebecca are riding on a merry-go-round....Ch. 10.4 - If you are trying to loosen a stubborn screw from...Ch. 10.5 - You turn off your electric drill and find that the...Ch. 10.7 - A section of hollow pipe and a solid cylinder have...Ch. 10.9 - A ball rolls without slipping down incline A,...Ch. 10 - (a) Find the angular speed of the Earths rotation...Ch. 10 - A bar on a hinge starts from rest and rotates with...Ch. 10 - A wheel starts from rest and rotates with constant...
Ch. 10 - A machine part rotates at an angular speed of...Ch. 10 - A dentists drill starts from rest. After 3.20 s of...Ch. 10 - Why is the following situation impossible?...Ch. 10 - Review. Consider a tall building located on the...Ch. 10 - Prob. 8PCh. 10 - A discus thrower (Fig. P10.9) accelerates a discus...Ch. 10 - Prob. 10PCh. 10 - A car accelerates uniformly from rest and reaches...Ch. 10 - Review. A small object with mass 4.00 kg moves...Ch. 10 - Prob. 13PCh. 10 - Find the net torque on the wheel in Figure P10.14...Ch. 10 - A grinding wheel is in the form of a uniform solid...Ch. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Your grandmother enjoys creating pottery as a...Ch. 10 - Prob. 20PCh. 10 - You have just bought a new bicycle. On your first...Ch. 10 - Imagine that you stand tall and turn about a...Ch. 10 - Following the procedure used in Example 10.7,...Ch. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - Big Ben, the nickname for the clock in Elizabeth...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - Prob. 30PCh. 10 - A uniform solid disk of radius R and mass M is...Ch. 10 - This problem describes one experimental method for...Ch. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - A smooth cube of mass m and edge length r slides...Ch. 10 - Prob. 35PCh. 10 - Prob. 36APCh. 10 - Prob. 37APCh. 10 - Prob. 38APCh. 10 - Prob. 39APCh. 10 - Prob. 40APCh. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - Review. A spool of wire of mass M and radius R is...Ch. 10 - Review. A clown balances a small spherical grape...Ch. 10 - Prob. 44CPCh. 10 - A spool of thread consists of a cylinder of radius...Ch. 10 - Prob. 46CPCh. 10 - A uniform, hollow, cylindrical spool has inside...Ch. 10 - A cord is wrapped around a pulley that is shaped...
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- 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.arrow_forwardA disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.arrow_forwardA wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.arrow_forward
- During a certain time interval, the angular position of a swinging door is described by = 5.00 + 10.0t + 2.00t2, where is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t = 3.00 s.arrow_forwardMath Review (a) Convert 47.0 to radians, using the appropriate conversion ratio. (b) Convert 2.35 rad to degrees. (c) If a circle has radius 1.70 m, what is the are length subtended by a 47.0 angle? (See Sections 1.5 and 7.1.)arrow_forwardJeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by = t2 + 0.800 t + 2.00,where t is in seconds and is in radians. At t = 0 and at t = 1.50s, what are the a. angular position, b. angular speed, and c. angularacceleration of the door?arrow_forward
- A wheel has an acceleration of 1.70 rad/sec^2. It starts from rest. How fast is it turning (radians per second) after it has completed 20 rev?arrow_forwardA pottery wheel spins counter-clockwise with an initial angular speed of 68.7 rpm, as a potter sculpts a clay vase. The potter pushes on the pedal to apply an acceleration of 6.81 rad/s2, and the wheel steadily speeds up to a top angular speed 140 rpm. Use radians as the standard unit for angles.arrow_forwardThe angular position of a wheel is given by θ(t) = 8.5 - 15.0t + 1.6t2, where θ is in radians and t is in seconds. Find the expression for the instantaneous angular acceleration α(t).arrow_forward
- A wheel of diameter 40.0 cm starts from rest and rotates with a constant angular acceleration of 3.00 rad/s2. Compute the radial acceleration of a point on the rim for the instant the wheel completes its second revolution from the relationship (a) arad = v2r and (b) arad = v2/r.arrow_forward(a) Express the following angles in radians. 10° = rad 55° = rad 70° = rad 270° = rad (b) The following angles are in units of radians. Express them in degrees. ?/5 = ° 0.60? = ° 1.2? = ° 5? = ° (c) The following angles are in units of radians. Express them in units of revolutions. ?/5 = rev 0.60? = rev 1.2? = rev 5? = revarrow_forward(a) Express the following angles in radians. 25° = rad 55° = rad 75° = rad 190° = rad (b) The following angles are in units of radians. Express them in degrees. Tt/6 = 0.90n = 1.2n = 8n = (c) The following angles are in units of radians. Express them in units of revolutions. T/6 = rev 0.90n = rev 1.2n = rev 8T = revarrow_forward
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