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(I) What are the x, y, and z components of the
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- A bird flies overhead from where you stand at an altitude of 300.0 m and at a speed horizontal to the ground of 20.0 m/s. The bird has a mass of 2.0 kg. The radius vector to the bird makes an angle with respect to the ground. The radius vector to the bird and its momentum vector lie in the xy-plane. What is the bird’s angular momentum about the point where you are standing?arrow_forwardA uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 20 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rod’s center, 10 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 10.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod’s angular velocity when the beads reach the ends of the rod? (b) What is the rod’s angular velocity if the beads fly off the rod?arrow_forwardCheck Your Understanding Which has greater angular momentum: a solid sphere of mass m rotating at a constant angular frequency 0 about the z-axis, or a solid cylinder of same mass and rotation rate about the z-axis?arrow_forward
- If you know the velocity of a particle, can you say anything about the particle’s angular momentum?arrow_forwardA thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.arrow_forwardA 500-g particle is located at the point 7 = 4m +3m 1 - 2m and is moving with a velocity = 5 m/s 1-2 msĵ+ 4 m/s k. What is the angular momentum of this particle about the origin? O (121-31-4) kg. m²/s O (241-61-8k) kg. m²/s O (81+14 - 13 k) kg • m²/s O (41 - 137 - 11.5 k) kg • m²/s O (10 -1 + 2 k) kg. m²/sarrow_forward
- The mass M and moment of inertia C of a thick shell of uniform density p, with internal radius r and exter- nal radius Rare given by M= mp(R³ – r³) CTp(R$ – r³) 8 15" The Earth has an internal structure consisting of con- centric spherical shells. A simple model with uniform density in each shell is given in the following figure. Radius Density Layer (km) (kg m-3) 6370 upper mantle 3300 -5700 lower mantle 5000 3480 outer core 11000 -1220- inner core 13000 (a) Compute the mass and moment of inertia of each spherical shell. (b) Compute the total mass and total moment of inertia of the Earth. (c) If the moment of inertia can be written C= kMR?, where M is Earth's mass and Rits radius, what is the value of k? (d) What would the value of k be if the density were uniform throughout the Earth?arrow_forwardIn (Figure 1), take m₁ = 3.4 kg and m² = 4.2 kg. Figure 5m 8 m/s 4 m m MAD 1.5 m 0 2 m 4 m ma B 30° 1m2 6 m/s X 1 of 1 Part A Determine the z component of the angular momentum Ho of particle A about point O. Express your answer in kilogram-meters squared per second to three significant figures. ΑΣΦΗ Πvec (Ho): = 124.19 Submit Previous Answers Request Answer * Incorrect; Try Again; 2 attempts remaining Part B (Ho): = Determine the z component of the angular momentum Ho of particle B about point O. Suppose that Express your answer in kilogram-meters squared per second to three significant figures. ΕΠΙΑΣΦΠ Submit vec Provide Feedback Previous Answers Request Answer * Incorrect; Try Again; 5 attempts remaining ? kg.m²/s ? kg.m²/sarrow_forwardMomentum, P = (2.0 kg m/sec)î – (7.0 kg m/sec)ĵ acts on a particle with position vector 7 = (3. 0 m)î – (1. 0 m)ĵ. What are the angular momentum on the particle about the origin, in unit vector notation and the angle between 7 and P? If ř and P are working in Y and – Z direction respectively, what would be the direction of force?arrow_forward
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