T2 A dumbbell with mass 3M, radius R, and moment of inertia MR² is on an incline of angle 0. There is sufficient friction on the incline so that the dumbbell rolls without slipping. The dumbbell is connected by a massless cord passing over a pulley of mass M and radius R (I = ½MR²) to a hanging mass M as shown 3M M
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- NoneA gyroscope slows from an initial rate of 58.8 rad/s at a rate of 0.801 rad/s². (a) How long does it take (in s) to come to rest? S (b) How many revolutions does it make before stopping? revA wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 11.1 rad/s in 2.99 s. (a) Find the magnitude of the angular acceleration of the wheel. rad/s2 (b) Find the angle in radians through which it rotates in this time interval. rad
- A clock hangs on a wall. a) What is the direction of the average angular velocity of the seconds hand? b) What is the magnitude of the average angular velocity of the seconds hand?A 6 kg point mass is at coordinates (9 m, 4 m), a 7 kg mass is at (-6,2) and a 7kg mass is at (x,y) of (9,-2). Find the moment of inertia about the x axis. Ix = kg-m2An automatic dryer spins wet clothes at an angular speed of 4.7 rad/s. Starting from rest, the dryer reaches its operating speed with an average angular acceleration of 3.4 rad/s². How long does it take the dryer to come up to speed? i eTextbook and Media GO Tutorial Save for Later Attempts: 0 of 3 used Submit Answer SUPPORT C # $ 2 3 4 וום 205 % & ( 6 7 8 9 W e r t Y u i S d f 60 h K 0 4 Mar 26 P 9:30 US X
- 0 out of 15 p A grindstone has a radius of 13.00 cm and rotates at 13000 rev/min. What is the linear speed (in m/s) of a point on its edge? Selected Answer: O 31.6 Correct Answer: 176.79644 6/170 79644- 182 79644)A 1.0-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 5 kg and radius 0.5 m. What is the acceleration of the mass? (The moment of inertia of the pulley is 1/2MR2.)The Earth has a mass m = 6.0 x1024 kg, and a radius R = 6400 km. It rotates about its own axis and it orbits around the sun at a distance d = 1.5x1011 m. What is its total angular momentum of Earth due to: Its spinning motion about its Its orbital motion about the
- Flying Circus of Physics A yo-yo has a rotational inertia of 1110 g.cm² and a mass of 94.4 g. Its axle radius is 2.47 mm, and its string is 133 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy, (e) rotational kinetic energy, and (f) angular speed? (a) Number i 5.1 (b) Number i 7.2 (c) Number i (d) Number i (e) Number i (f) Number i 000 Units Units Units Units Units Units m/s^2 PHONa 20 Nm torque acts on a wheel that has 150kgm^2 moment of inertia 1.calculate the angular acceleration of the wheel.Am1= 19.0-kg object and a m 2 = 9.0-kg object are suspended, joined by a cord that passes over a pulley with a radius of R = 30.0 cm and a mass of M = 3.00 kg as seen in the Figure. The cord has a negligible mass and does not slip on the pulley. The pulley rotates on its axis without friction. The objects start from rest d = 5.00 m apart. Treat the pulley as a uniform disk, and determine the speeds of the two objects as they pass each other. (Your result must be in units of m /s and include 2 digit after the decimal point. Maximum of 4% of error is accepted in your answer. Take g = 9.80 m/s 2.) Hint: For solid cylinder of disk the moment of inertia about an axis through center of mass is IcOM = MR %3D d.