A 1.10-kg particle moves in the xy plane with a velocity of v = (3.90 î - 3.70 j) m/s. Determine the angular momentum of the particle about the origin when its position vector is ř = (1.50 î + 2.20 j) m. î + Jê) kg • m²/s
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- bage An arm swings from neutral (0 deg) to 94.3 deg flexion and then back 11.5 deg. Calculate the angular displacement 0 in radians to 2 decimal places. Answer: Check 1 g 4 Ps 8°C Heavy rain des Next page 4 22:07 03/12/2023 □Consider the rotational kinematic motion profile indicated below. t: 0 → 5 s = 0 deg/s , R O(0) = 0 deg = 0 deg/s Y(0) = 0 deg = 6 deg/s , Q Ф(0) = 0 deg O deg %3D t: 5 → 15 s P = 0 deg/s Ó = 6 deg/s Ý(t) = 3/cos(0(t)) deg/s Compute roll angle O at t = 15 s.•28 A 2.0 kg particle-like object moves in a plane with velocity components v, = 30 m/s and v, = 60 m/s as it passes through the point with (x, y) coordinates of (3.0, –4.0) m. Just then, in unit- vector notation, what is its angular momentum relative to (a) the origin and (b) the point located at (-2.0, -2.0) m?
- 3 z, 0 = -1.5z. 13-99. A car of a roller coaster travels along a track which for a short distance is defined by a conical spiral, r = where r and z are in meters and 0 in radians. If the angular motion 0 = 1 rad/s is always maintained, determine the r, 0, z components of reaction exerted on the car by the track at the instant z=6 m. The car and passengers have a total mass of 200 kg. Prob. 13-99The position vector of a particle of mass 1.0 kg as a function of time is given by F= (6f + 10 tj ) m where 7 is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time (in kg m2/s)? Option 1 Option 2 Option 3 Option 4 Option 5 (20 tj) (120 tj) (60 tj) (30 tj) (240 tj)A student sits on a freely rotating stool holding two dumbbells, each of mass 3.04 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 0.99 m from the axis of rotation and the student rotates with an angular speed of 0.743 rad/s. The moment of inertia of the student plus stool is 2.58 kg • m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.299 m from the rotation axis (Figure b). W; b (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Kbefore K. after J
- A pendulum consists of a rod of length 2 m and mass 4 kg with a solid sphere of mass 9 kg and radius 0.7 m attached at one end. The axis of rotation is as shown below. What is the angular velocity (in rad/s) of the pendulum at its lowest point if it is released from rest at an angle of 30° from the vertical? (Enter the magnitude.) Axis • 2 m rad/s= 4.2 m and The Hubble space telescope can be approximated as a cylinder with diameter D moment of inertia / = 7.72 x 10¹ kg m². The telescope is initially at rest, and a reaction motor applies a force of 19 N tangentially to the outer surface of the cylinder for 4.5 s. • A. What is the angular acceleration of the telescope? B. What is the average power exerted by the motor over this entire 4.5 s interval? C. What is the instantaneous power exerted at t = 3 s?A thin rod of length 2.95 m and mass 13.3 kg is rotated at an angular speed of 3.95 rad/s around an axis perpendicular to the rod and through its center of mass. Find the magnitude of the rod's angular momentum. kg •m?/s