The figure shows the set up of E103 for a disk pulley. Suppose m-0.100 kg. M-0.500 kg. R-0.100 m, and r-0.050 m. what is the acceleration of the falling mass m? m mg M
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- The moon has a mass of 7.35x10²² kg, a radius of 1,738 km, and an angular velocity of 1 revolution every 27.3 days. Determine the moon's angular momentum. A. 5.91 x 10²⁹ kgm²/s B. 2.36 x 10²⁹ kgm²/s C. 3.34 x 10⁴⁰ kgm²/s D. 8.35 x 10⁴⁰ kgm²/sThe figure shows the set up of E103 for a disk pulley. Suppose m = 0.100 kg. M = 0.500 kg. R = 0.100 m, and r = 0.050 m. what is the acceleration of the falling mass m? T m mg 2.6 m/s2 Ⓒ2.2 m/s2 2.4 m/s2 R 2.8 m/s2 MA clever witch is social distancing during trick-or-treating by sticking her pumpkin-shaped bucket full of candy on the end of her broomstick. Her broomstick has a length of L = 1.2 m and she holds it Broomstick ly. The broomstick has a mass of 1.10 kg and the pumpkin has a mass of 2.4 kg. The witch holds her hands a distance of d = 0.80 m apart. L d. What is the force from the hand on the end of the broom? This is the hand on the left in the figure. FL = What is the force from the hand closer to the middle of the broom? This is the hand on the right in the figure. FR = N
- A cable lifting an elevator (600-kg) is wrapped around a 1.0-m diameter cylinder (20-kg) that is turned by the elevator's motor. The elevator is moving upward at a speed of 2.0-m/s then slows to a stop. (Note: I(cylinder)= ½ M R?) a. What is the angular acceleration (a) of the cylinder? b. What are the initial and final angular velocities (w) of the rotor. c. What angle (Dq) does the cylinder cover while stopping? d. How long does it take to stop the elevator?Two blocks of wood (1 kg each) are connected with a 1m long rope. Another 1m long rope is tied to one of the blocks and connected to a rotating axle. The ropes can only hold 100N of tension before breaking. (Assume the ropes have no mass). !a. Derive equations for the tension in the ropes as a function of angular velocity.b. At what angular velocity will the rope break? c. Which rope breaks first?A solid disk/pulley of mass M= 20.0 kg is attached to a block of mass m 10.0 kg. which is released from rest h-500 m above the ground. How fast will the block be moving before hitting the ground7 OA 35.5 m/s O B. 450 m/s OC 70.0 m/s O D. 140 m/s OE. 21.0 m/s
- Axle 600 rpm FIGURE P8.37 37. What is the angular momentum about the axle of the 2.0 kg, 4.0-cm-diameter rotating disk in Figure P8.37?5. Jupiter orbits the Sun with speed 2079 m/s at an average distance of 71 398 000 m from the Sun. If Jupiter has a mass of 1.90×10^27 kg, what is its angular momentum as it orbits? a. 4.30×10^39 kgm^2/s b. 1.89×10^35 kgm^2/s c. 3.67×10^35 kgm^2/s d. 2.82×10^38 kgm^2/s e. None of the abovestops in 1.5 s. What is the magnitude of the friction force on the disk? 49. A 200 g, 20-cm-diameter plastic disk is spun on an axle through its center by an electric motor. What torque must the motor supply to take the disk from 0 to 1800 rpm in 4.0 s?
- A bicycle wheel has a diameter of 700mm and a mass of 3.0 kg. Most of the mass of the wheel is in the tire so you can treat it as a hoop. a. Suppose the wheel is attached to a bicycle that is moving at 7.0 m/s. What is the angular velocity of the wheel in rad/sec? b. If the bicycle slows down to 4.0 m/s over a period of 10.0 sec, what is the angular acceleration of the wheel in rad/sec 2?A skater has a moment of inertia 5 kg.m2 (kilogram, meter squared) when herarms are outstretched and 1 kg. m2 when her arms are brought to her sides. She starts to spin at 1 revolution per second when her arms are outstretched and the she pulls her arms to her sides. a. What is her final angular momentum?A 4m board weighing 60 N extends out over the edge of the table with 40% of the board's length off the table. How far beyond the table can a 20N cat walk before the board begins to tilt Meow, O A. 1.2 m О В. 1.5 m о С. 1.1 m O D. 1.4 m O E. None of the above