(II) Use the expression that was derived in Problem 51 for the acceleration of masses on an Atwood’s machine to investigate at what point the moment of inertia of the pulley becomes negligible. Assume m A = 0.150 kg, m B = 0.350 kg, and R = 0.040 m. ( a ) Graph the acceleration as a function of the moment of inertia. ( b ) Find the acceleration of the masses when the moment of inertia goes to zero. ( c ) Using your graph to guide you, at what minimum value of I does the calculated acceleration deviate by 2.0% from the acceleration found in part ( b )? ( d ) If the pulley could he thought of as a uniform disk, find the mass of the pulley using the I found in part ( c ).
(II) Use the expression that was derived in Problem 51 for the acceleration of masses on an Atwood’s machine to investigate at what point the moment of inertia of the pulley becomes negligible. Assume m A = 0.150 kg, m B = 0.350 kg, and R = 0.040 m. ( a ) Graph the acceleration as a function of the moment of inertia. ( b ) Find the acceleration of the masses when the moment of inertia goes to zero. ( c ) Using your graph to guide you, at what minimum value of I does the calculated acceleration deviate by 2.0% from the acceleration found in part ( b )? ( d ) If the pulley could he thought of as a uniform disk, find the mass of the pulley using the I found in part ( c ).
(II) Use the expression that was derived in Problem 51 for the acceleration of masses on an Atwood’s machine to investigate at what point the moment of inertia of the pulley becomes negligible. Assume mA = 0.150 kg, mB = 0.350 kg, and R = 0.040 m. (a) Graph the acceleration as a function of the moment of inertia. (b) Find the acceleration of the masses when the moment of inertia goes to zero. (c) Using your graph to guide you, at what minimum value of I does the calculated acceleration deviate by 2.0% from the acceleration found in part (b)? (d) If the pulley could he thought of as a uniform disk, find the mass of the pulley using the I found in part (c).
During a very quick stop, a car decelerates at 7.00 m/s. (a) What is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement? (b) How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s? (c) How long does the car take to stop completely? (d) What distance does the car travel in this time? (e) What was the car’s initial velocity? (f) Do the values obtained seem reasonable, considering that this stop happens very quickly?
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ASK
A car initially traveling at 24.2 m/s undergoes a constant negative acceleration of magnitude 1.70 m/s after its brakes are applied.
(a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.345 m?
X rev
(b) What is the angular speed of the wheels when the car has traveled half the total distance?
X rad/s
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10. [2/2 Points]
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SERCP11 7.4.P.020.
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ASK YC
Human centrifuges are used to train military pilots and astronauts in preparation for hiigh-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up
(88.2 m/s) without losing consciousness.
A box is suspended from a coil of rope on a pulley of radius (0.54m) and rotating at a constant angular velocity (1.6rad/s) to lift it up.
- Calculate the height that the box reaches after three seconds ?
Chapter 10 Solutions
Physics for Scientists & Engineers with Modern Physics [With Access Code]
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