3-43. If F = 450N, determine the magnitude of the moment produced by this force about the x axis 45° 60 60 п00 mm 300 mm 150 mm
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- Calculate the moment (Mo, MB, and Mc) of the 550-lb force about the points O, B, and C. Moment Mo 1. 1359 2. 1429 3. 1103 4. 1255 Moment MB 1. 0. 2. 100.0 3. 145.0 4. 250.0 Moment Mc 1. 357.0 2. 265.0 3. 0. 4. 206.0 X 10'-0" B F = 550 lb A 40° 5'-0" X1. Image that two particles, a proton and an electron, are confined to move on circular rings of fixed radius, r. For each particle, the kinetic energy can be written as m 1 T = ² (vx² + v₂²) = = 1 w² 2 where the angular velocity, w = and the moment of inertia, I = mr², arise from converting this expression from Cartesian to plane polar coordinates. de dt' (a) Let the fixed radius for each particle be r= 100 pm. Suppose that both the proton and the electron can be treated classically and that they happen to have the same angular momentum, L = Iw. What would be the ratio of their angular velocities, electron? @proton (b) Now, suppose both the proton and the electron have the same angular velocity, w, and the same angular momentum, L, but are on rings of different sizes. If the proton's ring has radius r = 200 pm, what is the radius of the electron's ring (in pm)? (c) For the case examined in part (a) (same ring with same angular momentum), what is the ratio of the electron's kinetic…Bugün 17:32 7) 26°C 39 A large sphere of radius R and mass M is released from rest to roll without slipping down an inclined plane. What is the speed of the center of mass of the sphere at the bottom of the incline after it has fallen a height of h? (The moment of inertia of the sphere about its center of mass is MR²). F2 a . 2 £ ALT W 58 7 X F3 B/O 3# Ę€ BAY 0 480 4$ A FS F X8 % Sva d C V 10 T F6 #D G & 6 B F7 Y H 7 ( N 7/10 MONSTER F8 X F9 ( 8[ J M F10 91 K % = 9 F11 Ď. 0} L ALT GR P Ç F12 O. EI Ş Ş PAT SC INSERT B -1 !! J C PAUSE BREAK Ü D %163 CTRL DEL BACKSPACE ENTER SHIFT 10 puan h < END 7 HE A
- C 0.7 m 2-2. 1.2 m- 0,7 0,7 750 1.6 m. Determine the moment due to T about point 'O' 30° isk 1,60,7 0.8 m 0.8 0,8 -1, 6 B 0,82 The tension T in the cable BC is 750 N. Express T in terms of its i, j and k components (unit vectors in the x, y and z directions)The angle between 0 and 2pi in radians that is coterminal with the angle 14/15pi in radians is:Determine the polar moment of inertia of the area shown with respect to (a) point O, (b) the centroid of the area.
- (a). lower left corner of the figure. (b). Locate the x and y coordinates of the centroid of the figure shown below, measured from the Calculate the area moment of inertia about the centroidal x-axis. 50 mm -12 mm 44 mm 16 mm 42 mm 16 mm2Problem 8 For each case illustrated in Fig. 4-4, determine the moment of the force about point O. -2 m (b) 3 ft (d) 0.75 m 4 ft 50 N 1 ft 45 1 sin 45 ft 60 lb 4 m Fig. 4-4 2ft 3040 lb (c) 2 cos 30° ft 1 m 7kN 2 m (a) 100 N
- Determine the moment about point O. (ANS: 14.5 kN-m, CW) d 75° 30° 3 m 45° F = 5 kN1. Determine the resulting moment of the force couple system. 30 N 20 N -8 m- 30° A B 30 N D C 4 m 30° 20 N3 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. 13-99