A disc rolls straight on a flat floor without slipping. The magnitude of the angular velocity ω= 3.0 rad/s, the angular acceleration α=2.0 rad/s2. The radius of the disc is r=1.0 m.     a) Is the following statement true?           The disk center G is having a rectilinear motion.  True  False

4. A disk is rolling without slipping with angular velocity W and angular acceleration a (both clockwise). 1) if it has rolled 2.2 revolutions, determine the distance traveled by its center, point A. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. B 45% 2 m A No slipping Your Answer: Answer (1) α units

The electric fan is mounted on a swivel support such that the fan rotates about the z axis at a constant rate of w₂ = 1 rad/s and the fan blade is spinning at a constant rate wę = 54 rad/s. 6 = 45° for the motion. (Figure 1) Figure W: @₂ 1 of 1 Part A Determine the x, y, and z components of the angular velocity of the blade using scalar notation. Express your answers in radians per second to three significant figures separated by commas. (w) x, (w)y, (w) x = Submit Request Answer Part B (a)x, (a)y, (a)₂ = Submit Provide Feedback ΑΣΦ Determine the x, y, and z components of the angular acceleration of the blade using scalar notation. Express your answers in radians per second squared to three significant figures separated by commas. V— ΑΣΦ Request Answer vec ↓↑ vec ? M rad/s ? rad/s² Next >

a. Which term(s) in this equation is/are eliminated if Point A is stationary? b. Which term(s) in this equation is/are eliminated if Frame A rotates with constant angular velocity? c. Which term(s) in this equation is/are eliminated if Frame A is fixed to a rigid body and Point B is a point on that body? d. From a definition of position vector FB/I = TA/I + TB/A, derive the expression for acceleration below TA/I 144 A TB/1 TB/A B B/1 = A/I +B/A+A/I XTB/A+20A/I XUB/A+WA/IX (WA/IXTB/A)