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?The 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?
- The 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?If a torque of 20 N.m is applied to a wheel (I wheel = m R 2 ) radius 0.60 m. If the wheel accelerates at a rate of 2 rad/s 2, what is the mass of the disk?The spool has a mass, m, and a radius of gyration, kG. An inextensible is wrapped around the inner diameter of the spool and is attached to the wall a point A. The coefficient of friction between the floor and the spool is mu. If the spool has the initial angular velocity given as omega naught, how far will the center, G, move before stopping?
- A hollow cylinder has radius 9.5 cm and mass 1.8 kg. The cylinder rolls without slipping at a speed of 1.488 m/s, and begins to roll without slipping up a(n) 11° slope. What is the maximum height the cylinder will reach on the inclined plane when it comes to a stop?A solid, uniform disk of radius 0.250 m and mass 49.0 kg rolls down a ramp of length 3.80 m that makes an angle of 12.0° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. m/s (b) Find the angular speed of the disk at the bottom of the ramp. rad/sForce F = (5.58 N)î – (6.71 N )k acts on a pebble with position vector 7 = (2.79 m ) – (7.59 m ) k, relative to the origin. - What is the resulting torque acting on the pebble about (a) the origin and (b) a point with coordinates (3.43 m, 0, -3.30 m)? (a) Number i i k Units (b) Number i i i k Units