The brake drum is attached to a larger flywheel that is nof shown. The motion of the brake drum is defined by the relation 0 = 36t – 1.6t² + 2t³ where 0 is expressed in radians and t in seconds. Determine (a) the angular velocity at 10sec. (b) the number of revolutions executed by the brake drum before coming to rest.

The angular velocity of the disk is defined by ω=(7t2+4)rad/s, where t is in seconds. A) Determine the magnitude of the velocity of point A on the disk when t = 0.8 s . B) Determine the magnitude of the acceleration of point  A  on the disk when  t  = 0.8  s

Question 2: The wheel starts from rest with an angular velocity of @=0.20², 0 is in radian. Determine the magnitude of the linear acceleration of point P after the wheel has turned 1 revolution. r=0.5 m P (a) 9.92 m/s² 31.2 m/s² (b) (c) 32.7 m/s² (d) 45.2 m/s²

Q10. The platform is rotating about the vertical axis such that at any instant its angular position is = (C₁ · ³/2) rad, where C₁ is a constant and this time in seconds. A ball rolls outward along the radial groove so that its position is r = (C₂ · t³) m, where C₂ is another constant and t is again time in seconds. If the constants C₁ = 4.1 and C₂ = 0.06, determine the magnitude of the acceleration of the ball (in m/s²) when t 1.5 s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer 0. r