2. Which of the following equations gives the mass moment of inertia of a thin homogenous rectangular plate with mass m base b, and height h, about the centroidal x-axis? h -b- A. 1/2mbh B. 1/2mh² c. // mh² D. /mbh X
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- Fb Fa Fc Two uniform disks are attached at their centers. Three forces are applied at various positions as illustrated. (CCW+, CW-) Fa = 36.6 N %3D Fb = 46.2 N %3D F = 33.7 N 1 = 1.8 m r2 = 3.9 m e = 17.2° Torque caused by Fa: mN Torque caused by Fb: mN Torque caused by Fc: mN Find the net torque. mN4. Determine the moment about point A of each of the three forces acting on the beam. คําตอบ: Mo =... N.m counterclockwise / clockwise F₁ = 375 N TA F₂=500 N -1.6 m Fy=160 N7. An aluminum disk has a mass m, radius R, and area A. It has an area mass density (mass per unit area) which varies with distance from the center of the disk and can be describe by o=ar, where r is the distance from the center of the disk and a is a constant. (a) What are the units of a? (b) What is the moment of inertia of the disk about an axis through the center?
- As shown, force F→2 acts half as far from the pivot as F→1 .What magnitude of F→2 causes the net torque on the rod to be zero?A small mass sits on a turntable at a distance of .347m from the center of the turntable. The small mass has tangetial acceleration of 1.54 m/s^2. The angular acceleration of the mass is: a. is greater for smaller radial position of the mass on the turntable. b. equals zero. c. is greater for a larger radial posiiton of the mass on the turntable. d. depends upon the matrial of the turntable. e. is independent of the radial position of the mass on the turntable.A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/s
- The graph below is for a 30 kg.m2 object. a) Find the net torque. b) Find the angular displacement at t = 3.5 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A 1.10-kg particle moves in the xy plane with a velocity of Need Help? Read It = (3.70 1-3.70 ĵ) m/s. Determine the angular momentum of the particle about the origin when its position vector is = (1.50 î+ 2.20 ĵ) m. k) kg - m²/s Watch It
- 2. Calculate the moment of inertia of a rectangular plate that is 24.0 cm long and 12.0 cm wide, with a mass of 1.25 kg, a. for an axis of that is perpendicular to the plate passing through its center. b. for an axis along its long edge. c. for an axis along its short edge.3 1. A uniform solid sphere rolls without slipping down a 28° inclined plane. What is the acceleration of the sphere's center of mass? The moment of inertia of a uniform solid sphere about an axis that passes through its center = mr². The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7/5mr². m/s² E D C 4 22 R F % 5 V T G tv B MacBook Air 22 Y H 7 5 N 00 8 ZA 3 ( 9 K MOSISO O O V P command DUI 04 M optionQuestion 30 Britney Spheres. A solid sphere with mass 5.47 [kg] and diameter 10.7 [m] experiences a net torque of magnitude 65.0 [N-m]. What is the angular acceleration of the sphere? 1.04 [rad/s] O 0.62 [rad/s] 30 O 0.42 [rad/s] 0.26 [rad/s]