A 7.83 kg particle with velocity = (1.81 m/s )i - (9.64 m/s ) is at x 8.83 m. y 1.23 m. It is pulled by a 9.44 N force in the negative x direction. About the origin, what are (a) the particle's angular momentum, (b) the torque acting on the particle, and (c) the rate at which the angular momentum is changing? (a) Number (b) Number (c) Number Units Units Units
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- - A 1.00 kg particle with velocity ✓ = (4.28 m/s )î – (7.79 m/s ) is at x = 8.75 m, y = 3.55 m. It is pulled by a 3.50 N force in the negative x direction. About the origin, what are (a) the particle's angular momentum, (b) the torque acting on the particle, and (c) the rate at which the angular momentum is changing? (a) Number i (b) Number i (c) Number i k Units k Units k UnitsPhysics Ch. 9 #73 Please see attached imageQuestion 1: A particle of mass m=1kg has position vector * (t) given by 7 (t) find = Ati + Bt2j+Ct³k (meters) where A, B, and C are constants. At t=1 second, a) the torque, 7, with respect to the origin, and b) the angular momentum, L, with respect to the origin.
- Force F = (- 7.7 N )i + (4.6 N )j acts on a particle with position vector 7 = (2.5 m )i + (4.2 m )j. What are (a) the %3D magnitude of the torque on the particle about the origin and (b) the angle between the directions of 7 and F ? (a) Number i Units (b) Number i UnitsFour point masses, m¡ = 2 kg, m2 = 3 kg, m3 = 4 kg and m4 5 kg are on the x axis as shown in the figure below. mi m2 m3 1.0 2.0 3.0 4.0 x (m) Find the moment of inertia of the above system about an axis of rotation that is perpendicular to the page and passes through x = 4 m. Find the moment of inertia of the above system about an axis of rotation that is perpendicular to the page and passes through x = 3 m.A cylindrical fishing reel has a moment of inertia of I = 6.6 x 104 kg-m² and a radius of 4.0 cm. A friction clutch in the reel exerts a restraining torque of 1.3 N-m if a fish pulls on the line. The fisherman gets a bite, and the reel begins to spin with an angular acceleration of 66 rad/s². (a) What is the force of the fish on the line? N (b) How much line unwinds in 0.45 s? cm
- At time t-0, a 4.61 kg particle has position vector 7 (5.00 m )7-(6.00 m) relative to the origin. Its velocity is given by 3=(-1.35² m/s ) for t in seconds. About the origin with t-12.8 s, what are (a) the particle's angular momentum and (b) the torque acting on the particle, both in unit-vector notation? (a) Number (b) Number Units UnitsSolve for d, e, f onlyTwo astronauts, each having a mass of 75.5 kg, are connected by a 10.0 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 4.90 m/s. Treating the astronauts as particles, calculate each of the following. Center of gravity (a) the magnitude of the angular momentum of the system kg-m²/s (b) the rotational energy of the system KJ By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. (c) What is the new angular momentum of the system? kg-m²/s (d) What are their new speeds? m/s (e) What is the new rotational energy of the system? KJ (f) How much work is done by the astronauts in shortening the rope? kJ