Tension of a string is 6.4 N and load applied to lower end of string is 0.1 kg. If the length of string is 6 m, then its angular velocity will be (a) 3 rad /s (b) 4 rad /s (c) 2 rad / s (d) 1 rad/s
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- To polish a filling, a dentist attaches a sanding disk with aradius of 3.20 mm to the drill. (a) When the drill is operated at2.15 * 104rad>s, what is the tangential speed of the rim of thedisk? (b) What period of rotation must the disk have if the tangential speed of its rim is to be 275 m>s?angular velocity of a wheel is 70 rad/s. If the radius of the wheel is 0.5 m, then linear velocity of the wheel is (a) 10 m/s (b) 20 m/s (c) 35 m/s (d) 70 m/sThe uniform slender rod has a mass m. If it is released from rest when 0 = 0 determine the angular acceleration of the slender when 0= 90°. L A B Hint: Mass moment of inertia for a slender beam with respect to axis through its center of gravity: T = ML² Where M is the mass of slendel and Lis the length of slender. MacBook Air 888 FA F2 & $. 4 %23 delete 7 8 9 2 3 P Y R W K F G D N M B V command ption ソ
- he wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.421 mrh=0.421 m and mass 5.27 kg5.27 kg, and two thin crossed rods of mass 7.37 kg7.37 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0588 mtd=0.0588 m thick, made out of a material with a density of 6450 kg6450 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?11:22 O ols.liu.edu.lb H. The hoop is cast on the rough surface such that it has an angular velocity w = 7 rad/s and an angular acceleration a = 3 rad/s². Also, its center has a velocity of vo = 5 m/s and a deceleration ao = 3 m/s². Determine the magnitude of the acceleration of point B and its direction angle measured CCW from the x positive axis. AY ao 45° 0.3 m Select one: A. aB = 5.04 m/s²; and 0 = 170.31° В. ав : 17.09 m/s²; and 0 = 145.18° B. IIThe 184-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the couple moment is applied to the spool and the coefficient of kinetic friction between the spool and the ground is μ = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. ( Figure 1) Figure 0.4 m 0.6 m B M = 450 N.m 1 of 1 Determine the angular acceleration of the spool. Express your answer to three significant figures and include the appropriate units. α = Submit Part B aG= O Value X Incorrect; Try Again Submit Part C μà Determine the acceleration of G. Express your answer to three significant figures and include the appropriate units. O Previous Answers Request Answer O μA Value Units Request Answer ? μA Units Determine the tension in the cable. Express your answer to three significant figures and include the appropriate units. ? ?
- A 1.00 kg solid, uniform disk rolls without slipping across a level surface, translating at 3.00 m/s. If the disk's radius is 0.150 m, find the following. HINT (a) the disk's translational kinetic energy (in J) (b) the disk's rotational kinetic energy (in J)A torque of 12 N*m is applied to a solid uniform disk with a radius of .5 meters that causes the disk to accelerate at 5.7 rad/s^2. What is the mass of the disk?A uniform bar of length L = 0.89 m and mass M = 2.3 kg, freely rotating around a frictionless hinge, is released from rest in its horizontal position, as shown in the figure. The angular %3D acceleration of the bar is: L/2 a) a = 11.0112 rad/s? b) a = 5.5056 rad/s2 c) a = 22.0225 rad/s2 d) a = 16.5169 rad/s?
- For the given figure, the weight of the 9-ft bar is 5 Ib. The moment of the tension in the cord about the fulcrum (point O) is: L 3' 4. 12 15Amachine part has the shape of solid cylinder aof mass 500 g, diameter of 4.00 cm and length of 10,0 cm. It is spinning about a frictionless axle through its coaxial center, but its rim is scraping against metal, resulting in a friction force of 0.0375 N at that point. The moment of inertia of a solid cylinder rotating about its coaxial center is 1= mr?. If it takes the solid cylinder 3.00 s to %3D decrease its angular speed to 7.5 rad/s, what was the initial radial acceleration of the cylinder at a point on its rim? Select one: 1.125 m/s 10.1 m/s 18.0 m/s 4.50 m/sA bar 1m in length has a negligible mass and it is placed on a pivot point at the 0.55 m mark. A 2.3 kg mass hung at the 0 m mark and a 1.5 kg mass hung at the 1.0 m mark. The meterstick is released from rest in a horizontal position. Immediately after release, the magnitude of the SUMMATION OF TORQUE on the bar about the pivot point is most nearly A) 8.0 N•m B 2.0 N-m c) 6 N•m D 16 N•m E) 19 N•m