A wheel of inner radius r, = 13.8 cm and outer radius r, = 35.0 cm shown in the figure below is free to rotate about the axle through the origin o. What is the magnitude of the net torque on the wheel due to the three forces shown? (Assume F, = 4.20N, F, = 6.20 N and F- 13.0N.) N.m 45.0 F,
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- Text Predictions: On e to search w S 4. Rank the torques in order from largest to smallest: A: mass mo, radius ro B: mass 2mo, radius ro 2Fo Fo Accessibility: Investigate 5 X alt E D || C R F 1 T JL G 6 B H C: mass mo, radius 2ro 7 hp 8 U J N A Fo M D: mass 2mo, radius 2ro fio ( JO O K > O L 2Fo Focus AA CO 441 + = 4- { PUOL Р 46 alt 80°F insert ? 8:40 AM 6/14/202 prt sc backaceStarting from rest, a wheel reaches and angular speed of 5.435 π rad/s in 12.65 s.a) Find the magnitude of the angular acceleration of the wheel.b) Through what angle does the wheel move in 6.325 s?A bar on a hinge starts from rest and rotates with an angular acceleration a = 15 + 7t, where a is in rad/s? and t is in seconds. Determine the angle in radians through which the bar turns in the first 3.93 s. rad
- 20kg mass is at the 1.25 meter mark. Package G is at 1 meter mark. What must the mass of object G be? Calculate the torque that each object creates. The 20 kg mass on the left creates a positive torque. If the system is in equilibrium, the magnitude of the torque on the right must equal the magnitude of the torque on the left.Suppose you exert a force of 167 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N m) is exerted? (Enter the magnitude.) 42.585 N.m (b) What is the angular acceleration (in rad/s²) assuming negligible opposing friction? (Enter the magnitude.) 2.44 X rad/s² (c) What is the angular acceleration (in rad/s²) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) rad/s²For rolling without slip, the acceration of a circular disk on an incline plane a=r(alpha) where alpha = to the angular accleration. Qn. What is the difference in acceleration with slipping vs without slipping? Also, why is there no centripetal acceleration (towards the centroid of disk) when the disk is rolling without slippage?
- 20.A wheel with thin spokes can be considered a hoop, where I=mr. A bicycle wheel has a mass of .35 kg with a radius of .30 m and is spinning at 25 rad/s in the positive direction. Brakes apply a force of friction of 15 N at the rim. We will consider the rim of the wheel to be on the very outside of the wheel. (Remember significant digits.) a.) What is the direction of the torque provided by the brakes (positive or negative) b.) What is the magnitude of the torque applied by the brakes? Nm c.) What is the moment of angular inertia of the wheel? kgm2 d.) What is the angular acceleration of the wheel? rad/s? e.) How far does the wheel travel (in radians) before coming to rest? rad f.) How long does this take? s g.) With faulty brakes, only 8 N can be applied. How long would it take to stop the wheel under these conditions? s MacBook Pro1.0m 3.0m 0.5m mi m2 m, PA N, 5. The drawing above shows two objects on a board supported at two locations. The m = 40 kg (centered over P), m;=20 kg and m3=10 kg. b. Determine the magnitude of the torque exerted about point P by .. (don't forget to convert masses to forces.) i. mi ii. m2 ii. m3
- 4In the figure below, wheel A of radius A = 14 cm is coupled by belt B to wheel C of radius c 20 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.6 rad/s². Find the time needed for wheel C to reach an angular speed of 150 rev/min, assuming the belt does not slip. S B C TGA toy Ferris wheel that is at rest has a radius of 20.0 cm. A perpendicular force of 1.5 N is applied to the outer most part of the Ferris wheel. The toy Ferris when has a rotational inertia of 0.050 kg m2 . a) What is net Torque applied to the Ferris wheel? b) What is the angular acceleration of the Ferris wheel? k) If the Ferris wheel maintains this angular acceleration for 3.0 seconds, what will its final angular velocity be? d) What will be its rotational Kinetic Energy after 3.0 seconds?