Find IOG, The mass moment of inertia for the center of mass about the z′ axis is Iz′z′G=494.6 kg⋅m2
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Find IOG, The mass moment of inertia for the center of mass about the z′ axis is Iz′z′G=494.6 kg⋅m2
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- A ficle is located at position r=3î+7g+4€ par %3D 3. with respect to the origin. It has linear momentum D= -î +9Te ka ms! what is its angular momentum?Three light rods of negligible mass are joined to form an equilateral triangle of length L = 1.90 m. Three masses m, 6.00 kg, m, = 9.00 kg, and %D m3 3.00 kg are fixed to the vertices of this triangle as shown in the diagram below. Treat the masses as point particles. m, L L m, L/2 L/2 т, (a) What is the moment of inertia of the system about an axis lying in the plane of the triangle, passing through the midpoint of one side and the opposite vertex as shown by the dashed line? kg · m2 (b) What is the moment of inertia of the system about an axis passing through the center of the triangle and perpendicular to its plane? kg · m2At time t, the position of a point particle of mass m = 3 kg is given by r = 4t^2i −(2t + 6t^2)jwhere r is in meters and t in seconds. (a) What is the angular momentum vector of the object at t = 5 s. (b) What is the torque vector acting on the object at t = 2
- i need the answer quicklyA 5.0-m radius playgorund merry-go-round with a moment of inertia of 2000 Kg*m2is rotating freely with an angular speed of 2.0 rad/s. Two people, each having a mass of 60 Kg, are standing right outside the edge of the merry-go-round and step on it with negligible speed. what is the angular speed of the mery go round right after the two people have stepped on?A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m. At takeoff, what is the diver’s moment of inertia about his transverse axis?
- A uniform disk of mass 3.70 kg has a radius of 0.100 m and spins with a frequency of 0.550 rev/s. What is its angular momentum?You observe a 2.0 kg particle moving at a constant speed of 3.5 m/s in a clockwise direction around a circle of radius 5.0 m. (a) What is its angular momentum about the center of the circle?(b) What is its moment of inertia about an axis through the center of the circle and perpendicular to the plane of the motion?(c) What is the angular velocity of the particle?A spaceship of mass 110 kg is going to use a planet for a gravitational assist - that is, use the planet's gravity to change its direction of travel without expending any fuel. It is initially moving at a velocity of 230 m/s and at an angle of φ0 = 65°, at a distance 10200 km from the center of the planet as shown in the figure. Give an expression for the angular momentum of the spacecraft, using the coordinate system specified, in terms of m, r0, v0, φ0, and unit vectors i, j, and k. If the spaceship whips around the planet to the other side so that the angle is φ = 45° and is moving at 105 m/s, how far, in kilometers, from the planet is it?
- A 7 kg point mass is at coordinates (5 m, 5 m), a 4 kg mass is at (-5,7) and a 5kg mass is at (x,y) of (4,-7). Find the moment of inertia about the x axis. Find Iz = __________ kg-m2A particle of mass m moves in the xy plane with a velocity of v = vî + vj. Determine the angular momentum of the particle about the origin when its position vector is r = xî + vi.(Use the following as necessary: x, y, v, Vy, and m.)Please help me