Q. 6 : Two circular discs A and B have equal massed and uniform thickness but have uniform thickness but have densities (p1) and (p2) such that pi > P2. Their moments of inertia is. (a) I1> I2 (b) I1 >> I2 (c) I < I2 (d) I I2- bait oTn
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- Consider a stick 1.00 m long and its moments of inertia about axes perpendicular to the stick's length and passing through two different points on the stick: first, a point at its center and second, a point 17 cm from one end. Calculate the ratio I2/11, the ratio of the second moment of inertia to the first. SE || Record your numerical answer below, assuming three significant figures. Remember to include a "-" as necessary.z [meters] mc 6 kg MB 11 kg -5 10 x [meters] 100 kg MA -5- Calculate the moment of inertia about the z-axis for a group of point masses (see Figure). Mass A = 100 kg, mass B = 11 kg, massC = 6 kg and mass D = 8.8 kg. (PUHQ0239) %3D %3D a) 03.88 x 10 kg m2 3 b) O-9.18 x 10 2 kg m2 c) 04.08 x 10 kg m² 3 2 d) 03.65 x 10 3 kg m?The four particles shown below are connected by rigid rods of negligible mass where y1= 5.80 m. The origin is at the center of the rectangle. The system rotates in the xy plane about the z axis with an angular speed of 6.50 rad/s. Calculate the moment of inertia of the system about the zaxis (in kg.m2). Calculate the rotational kinetic energy of the system.
- A. x x 4e a ñ I8 Paragraph Styles Dictate In a downtown office building, you notice each of the four sections of a rotating door has a mass of 85 kg. What is the width, in meters, of each section of the door if a force of 62 N applied to the outer edge of a section produces an angular acceleration of 0.440 rad/s2? 02 | - 三山告Suppose that there are two solid steel spheres. The second sphere has a radius twice as large as the radius of the first sphere. What is the ratio of the moments of inertia of the spheres, I2:I1? 8 4 32 2 16P A 1 n 1. A uniform solid sphere rolls without slipping down a 27° 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 = mr²2, The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7/5mr², m/s2 N 2 W S #3 X H command E с D $ 4 C R FL % 5 V 1332 Search or type URL T G ^ MacBook Pro 6 B Y H & 7 N U J * 00 1332 8 M - + K ( 9 O < ) 0 L P ^ : ; command option { [ ? 1 + 11
- A wheel (radius = 0.25 m) is mounted on a frictionless, horizontal axis. The moment of inertia of the wheel about the axis is 0.040 kg x m². A light cord wrapped around the wheel supports a 0.50-kg object as shown in the figure. The object is released from rest. What is the magnitude of the acceleration of the 0.50-kg object? 3.0 m/s² 3.4 m/s² 4.3 m/s² 3.8 m/s² 2.7 m/s²A disk of radius R and thickness t has a mass density that increases from the center outward, given by p = po (r/R), where r is the distance from the axis of the disk. What is the moment of inertia about the disk axis in terms of M and R? O MR 2MR O sMP 3MR 5 O 2MR 3 5MR 3The axis of rotation of a thin plate is located at the left side, as shown in the figure. Calculate the moment of inertia I if the plate has a length L of 9.00 cm, a width w of 7.00 cm, and a uniform mass density of 2.50 g/cm². I = kg.m² W L
- Listen Q2. Two uniform thin disks A and B have masses of 3.2 kg and 4.1 kg respectively. They are each pinned at their respective centers, and when they roll in contact with each other, no slipping occurs. The motion is in vertical plane. The dimensions ra 12 cm and r2 = 36 cm. At this instant disk A has angular velocity w = 3.8 rad/s and %3D angular acceleration a = 1.2 rad/s2, both clockwise as shown. Takeg= 9.81 m/s. (1) Determine the magnitude of the angular velocity (in rad/s) of disk B. Your answer must include 2 places after the decimal point. 0, a .P A3 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 optionWhat is the magnitude force needed to put the object into rotational equilibrium? a) for figure C? b)for figure D? c) for figure E? d)Which of all these figures is in translational equilibrium as well?