Problem 1 Determine the moments of inertia I and I, of the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB. 1.2 in. 5.0 in. 1.8 in. 0.9 in. 2.0 in. 2.1 in. B
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- The axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit. As shown below, this axis precesses, making one complete rotation in 25,780 y. (a) Calculate the change in angular momentum in half this time. (b) What is the average torque producing this change in angular momentum? (c) If this torque were created by a pair of forces acting at the most effective point on the equator, what would the magnitude of each force be?Suppose the particles in the preceding problem have masses m1=0.10kg , m2=0.20kg , m3=0.30kg , m4=0.40kg . The velocities of the particles are . (a) Calculate the angular momentum of each particle about the origin. (b) What is the total angular momentum of the tour-particle system about the origin?A compact disc rotates at 500 rev/min. If the diameter of the disc is 120 mm, (a) what is the tangential speed of a point at the edge of the disc? (b) At a point halfway to the center of the disc?
- The angular acceleration of a rotating rigid body is given by =(2.0-3.0t)rad/s2 . If the body starts rotating from rest at t=0 , (a) what is the angular velocity? (b) Angular position? (c) What angle does it rotate through in 10 s? (d) Where does the vector perpendicular to the axis of rotation indicating 0 at t=0 lie at t=10s ?At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. What is its angular velocity in revolutions per second?Determine the moments of inertia I, and I, of the area shown about vertical and horizontal axes running through the centroid of the х у area, if a = 2.9 in. В 1.2 in. 5.0 in. 1.8 in. 0.9 in. 2.0 in. a The value of I, is in“. The value of Iy is in4
- 4 dots with mass 4kg each are at the corners of a square with 20.0 sides. Find moment of I in axis through the center and perpendicular to the square. a. 3.20x10^3 kg m2 b. 1.28 kg m2 c. 8x10^-2 kg m2 d. 0.32 kg m2The magnitude of the force P is 458 N. Determine the magnitude of the moment (Nm) of P about point C. Round off only on the final answer expressed in 3 decimal places. Bl y D. 600 mm A 500 mm m 360 mmNilo
- Determine the moment of inertia with respect to y' axes through the centroid of the shown area in in". Given: a = 4 in, b=40 in, d=24 in and R=16 in d R Select one: O A. ly' = 27238.40 O B. ly' = 16998.40 OC. ly' = 14438.40 %3D OD. ly' = 24678.4 OE. ly' = 22118.40 %3Dhelp me to figure out the problemAn automobile has tires with a radius of 0.39m. Starting from rest, it moves ina straight line without skidding through an angular displacement 285 radians.a. How far did the auto travel in meters?b. If it covers this distance in 22.2s, what is its average speed?c. Given it started from rest and its average speed from above, what mustbe its final speed.d. Find its angular acceleration.e. Find its final velocity in m/sf. Find its acceleration in m/s2