Question

Parallel Axis Theorem: I = ICM + Md Kinetic Energy: K = 2m202 Gravitational Potential Energy: AU = mgay Conservation of Mechanical Energy: 2 mv2 + u = žmo+ U Rotational Work: W = TO Rotational Power: P = TO Are Length (angle in radians, where 360º = 2a radians): S = re = wt (in general, not limited to constant acceleration) Tangential & angular speeds: V = ro Frequency & Period: Work-Energy Theorem (rotational): Weet = {102 - 10 = AK, Rotational Kinetic Energy: K = 102 Kinetic Energy of a Rolling Object: K = 31CM6s? + MVCM Frequency and Period for SHM: 1 fa Angular speed (with uniform circular motion): 277 = 24 Centripetal acceleration: 22 ac = rw Total Energy of a spring and mass in SIM: E = KA2 = 2mp2 + {kx? Centripetal Force & Acceleration: Spring Constant: k= Fe = mac = r Newton's Law of Gravitation: Equations of Motion for SHM: Gm2 (Newton's law of gravitation) y = A sin ot = A sin(2nft) = A sin A sin(276) (2) 21 y = A cos ot = A cos(27ft) = A cos (G = 6.67 x 10-N m²/kg) Acceleration due to Gravity at an Altitude h: GME (RE + 2 Gravitational Potential Energy of two particles: Gm m2 Velocity of Mass oscillating on a Spring (A? - x2) m Conditions for rolling without slipping: PCM = 11) acm = ra Period of Mass oscillating on a Spring: m k T = 2 s = re Δω where angular acceleration, a = Angular speed of mass oscillating on a spring: w = 2f = V m Period of a simple pendulum (small-angle approximation): Torque (signs: +CCW: -CW): t=rF] =rF sine Inet = r F1 = rmaj = mr?a (torque on a particle) Conditions for Translational & Rotational Mechanical Equilibria: Fnet = EF; = 0 and Fnet = 7; = 0 T = 27 Moment of Inertia: I = Emir? Velocity of a mass in SHM: (vertical velocity if v. v = wA cos cot is upward at to = 0, y = 0) Rotational form of Newton's 2nd Law: 7 net = lä Acceleration of a mass in SHM: (vertical acceleration if yo a = -w2A sin ot = -wy is upward at to = 0, y = 0)

Answer 1

Please see image and try to understand thanks

W = 0,103 Rad /s (as here four Rocket m=2350kg T=2.59m So torque =řx zarp dotal 4 court = 4*2.59x25 Thet = 259 Nm 16) TEIZ I-IMR2 de NIH I = 2 Inet MR² 2x259 2350X12.5912 - 0.0329 rad/s2 using W. Wotat Wzo 0.103 - 0-03 29xt 0.103 $ ta - 3,131 See 0.0329 Wook -energy theorem W=0 T - 2w? 2 IW.? Ź Iw2 Ź x Î x2350) x (2.59)2+(0.103)2 W: 41.8) J