Review. As shown in Figure P10.77 , two blocks are connected by a string of negligible mass passing over a pulley of radius r= 0.250 m and moment of inertia I . The block on the frictionless incline is moving with a constant acceleration of magnitude a = 2.00 m/s 2 . From this information, we wish to find the moment of inertia of the pulley. (a) What analysis model is appropriate for the blocks? (b) What analysis model is appropriate for the pulley? (c) From the analysis model in part (a), find the tension T 1 (d) Similarly, find the tension T 2 . (e) From the analysis model in part (b), find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T 1 and T 2 . the pulley radius r, and the acceleration a. (f) Find the numerical value of the moment of inertia of the pulley.
Review. As shown in Figure P10.77 , two blocks are connected by a string of negligible mass passing over a pulley of radius r= 0.250 m and moment of inertia I . The block on the frictionless incline is moving with a constant acceleration of magnitude a = 2.00 m/s 2 . From this information, we wish to find the moment of inertia of the pulley. (a) What analysis model is appropriate for the blocks? (b) What analysis model is appropriate for the pulley? (c) From the analysis model in part (a), find the tension T 1 (d) Similarly, find the tension T 2 . (e) From the analysis model in part (b), find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T 1 and T 2 . the pulley radius r, and the acceleration a. (f) Find the numerical value of the moment of inertia of the pulley.
Review. As shown in Figure P10.77, two blocks are connected by a string of negligible mass passing over a pulley of radius r= 0.250 m and moment of inertia I. The block on the frictionless incline is moving with a constant acceleration of magnitude a = 2.00 m/s2. From this information, we wish to find the moment of inertia of the pulley. (a) What analysis model is appropriate for the blocks? (b) What analysis model is appropriate
for the pulley? (c) From the analysis model in part (a), find the tension T1(d) Similarly, find the tension T2. (e) From the analysis model in part (b), find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T1 and T2. the pulley radius r, and the acceleration a. (f) Find the numerical value of the moment of inertia of the pulley.
A 392 N wheel comes off a moving truck and rolls without
slipping along a highway. At the bottom of a hill it is rotating at
27.5 rad/s. The radius of the wheel is 0.600 m, and its moment
of inertia about its rotation axis is 0.800MR2. Friction does work
on the wheel as it rolls up the hill to a stop, a height h above the
bottom of the hill; this work has absolute value 2600 J.
▼
Part A
Calculate h.
Express your answer with the appropriate units.
h =
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μA
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Consider the setup shown below. The blocks have masses 3.6 kg and 24 kg. The pulley has mass 7.4 kg, and is a uniform disc with radius 0.23 m. Assume the pulley to be frictionless, but the coefficient of friction between the block and the surface is 0.36.
What is the acceleration of the blocks? Assume the 24 kg mass is descending with acceleration a. The moment of inertia of the disk is 1/2MR2 and the acceleration of gravity is 9.8 m/s2.
A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min . The turn-table has a moment of inertia I=5.0kg(cm)2 relative to the axis through its center. Call this central axis the z-axis. A piece of sticky gum with mass m=50g falls straight down on the turn-table and sticks at a distance of 10cm from the center.
What are the forces the tact on the system after the gum falls on the turn-table?
Group of answer choices
Weight of turn-table, Normal force on the turn-table, Weight of gum
Weight of turn-table, Normal force on the turn-table, Weight of gum, Normal force on gum
Weight of turn-table, Weight of gum
Weight of gum
What can you say about the net torque relative to the axis of rotation, after the gum falls on the turn-table?
Group of answer choices
there is a torque of 0.049 kg m2/s2, in the z direction
there is a torque of 0.098 kg m2/s2, in the z direction
there is no net torque in the z direction
What is the angular momentum…
Chapter 10 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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