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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f1d10cb-2049-49a1-99f3-8859a98fe3db%2Fccea457a-bb90-4d4c-8ea6-ef7876593e29%2Fr2ealve.bmp&w=3840&q=75)
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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…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.Problem 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 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
- 5) A disk of mass m = 75.0 g and radius r = 4.20 cm glides across an air table at a speed v = 1.5 m/s. It makes a glancing collision with a hoop of radius R = 5.80 cm and mass M = 130 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the two objects stick together and rotate after the collision. a) What is the angular momentum of the system relative to the center of mass? b) What is the angular speed about the center of mass?3. As shown in Fig. P-529, a homogeneous cylinder 2 m in diameter and weighing 12 kN is acted upon by a vertical force P. Determine the magnitude of P necessary to start the cylinder turning. Assume that u = 0.30. %3D 2 m 60From the given beam, determine the moment at the wall. 8 kN 25 kN m -2 m -2 m 2 m - - 5 kN
- Determine the total moment at A.WEE21 2(0.ss 26.ss) O= 400,9 %3D 6) .2m 2 metal disks, one with radius 20 cm and mass 0.5 kg, and the other with radius Sm 50 cm and mass 1 kg, are welded together and mounted on a frictionless axis through their common center. A light string is wrapped around the edge of the smaller disk, and a 1.50 kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.40 m above the floor, what is its speed just before it strikes the floor? answer in m/s, use g=10 m/s? laib totion ed R2 不 R 1.50 kg a) 2,32 b) 3,84 C) 8,41 d) 4.47Two couples act on the beam as shown. Determine the magnitude of F so that the resultant couple moment is 300 lb • ft counterclockwise. Where on the beam does the resultant couple act?