At a certain instant, the particle of mass m has the position and velocity shown in the figure, and it is acted upon by the force F. Determine its angular momentum about point O and the time rate of change of this angular momentum. Use m = 1.9 kg, a = 0.62 m, b = 0.99 m, c = 0.72 m, and F = 190 N and v= 3.6 m/s. V m C
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- m2 m1 Consider the light, rigid rod shown in the figure above. Its length is 1.9 m. Attached to the ends of the rod are two masses with masses m1 = 3.8 kg and m2 = 3.3 kg. The combination rotates in the xy plane about a pivot through the center of the fod. Determine the angular momentum of the system about the centre when the speed of each particle is 4.0 m/s.A bicycle wheel of mass M (all at the edges) and radius r is fixed about an axis through its center and is initially at rest. You wrap the wheel with a cord and attach a hanging weight of mass m to the cord. You release the weight and allow it to fall a distance d. The weight falls smoothly, and the cord does not slip over the wheel as it unwinds. a. (Write an expression for the angular acceleration α of the wheel in terms of the tension T of the cord.b. Write an expression for the linear acceleration a of the weight in terms of the tension T of the cord.c. (Using parts (a) and (b) find the linear acceleration in terms of M, m, and g.d. Write an expression for the linear speed v of the weight after it falls a distance d.e. For M = 7.5 kg, r = 33 cm, m = 250 g, and d = 1.5 m, what is the rotational kinetic energy of the wheel afterthe weight has fallen?Pls help ASAP.
- At the instant of the figure, a 7.70 kg particle P has a position vector of magnitude 6.70 m and angle 0₁ = 49.0° and a velocity vector of magnitude 8.90 m/s and angle 0₂ = 29.0°. Force F, of magnitude 9.80 N and angle 03 = 29.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque acting on the particle? (a) Number i (b) Number Units Units V. 0 0₂A projectile of mass .050 kg moves to the right with a speed of 4.0 m/s. The projectile strikes and sticks to the end of a rod of mass 0.8 kg, at length 1.2 m from the rod's centre. The rod may rotate freely around a stationary axle pinned through the rod's centre of mass. Find the magnitude of the angular velocity, ω, of the system right after the collision. Select one: a. 0.00 rad/s b. 0.27 rad/s c. 0.53 rad/s d. None of the other answers are correct e. 1.05 rad/sDetermine the speed of the block with a mass of 0.60 kg after it has fallen 145 cm. The sphere is a shell with M = 4.5 kg and R = 8.5 cm. The pully has a rotational inertia of 0.0030 kg m2 and r = 5.0 cm. Use g = 9.8 m/s/s. Use conservation of energy.
- A uniform thin rod of mass m = 3.2 kg and length L = 1.5 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 6.5 N, F2 = 2.5 N, F3 = 15 N and F4 = 15 N. F2 acts a distance d = 0.14 m from the center of mass. a. Calculate the magnitude τ4 of the torque due to force F4 in newton meters. b. Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive.A bug is on the surface of a small wheel, which is a solid disk.How much work is done by the motor in a CD player to make a CD spin, starting from rest? The CD has a diameter of 12.0 cm and a mass of 15.8 g. The laser scans at a constant tangential velocity of 1.20 m/s. Assume that the music is first detected at a radius of 29.0 mm from the center of the disk. Ignore the small circular hole at the CD’s center. in J