If the torque acting on a particle about an axis through a certain origin is zero, what can you say about its angular momentum about that axis?

A particle of mass 4.0 kg has position vector of (4.0i+3.0j) at a particular instant of time when its velocity 3.0i with respect to the origin.(a) What is the angular momentum of the particle?(b) if a force of 6.0j N acts on the particle, what is the torque about the origin?

Peter shoots a pumpkin with mass 5.0kg from the ground at an angle 45o from the horizontal axis (ground), with an initial speed of 45 m/s.  Assuming the pumpkin remains rigid (no deformation) and ignoring any rotational or air effects (that is, treat the pumpkin as a particle), how long does it take for the pumpkin to reach its maximum height?

A boy and girl with the same mass m run with the same speed v toward a stationary merry-go-round of radius R that is free to rotate around a frictionless axle through its center. The merry-go-round has moment of inertia I9. (i) If the two students run horizontally and land at the distances R and R/2 as shown in the figure, what will be the magnitude of the angular velocity of the merry-go-round after the students land? (ii) If the girl then walks radially in a straight line to the boy at r = R, what is the final angular velocity of the merry-go-round? 大 一 aw R/2 -pplication

Twin skaters approach one another as shown in the figure below and lock hands. (a) Calculate their final angular velocity, given each had an initial speed of 2.10 m/s relative to the ice. Each has a mass of 84.0 kg, and each has a center of mass located 0.760 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius. rad/s (b) Compare the initial kinetic energy and final kinetic energy. O Initial kinetic energy is the same as final kinetic energy. O Initial kinetic energy is less than final kinetic energy. O Initial kinetic energy is greater than final kinetic energy.

(a) Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun. Is it reasonable to model it as a particle? (b) Calculate the magnitude of the angular momentum of the earth due to its rotation around an axis through the north and south poles, modeling it as a uniform sphere.

empt in Progress A sanding disk with rotational inertia 3.7 x 103 kg-m² is attached to an electric drill whose motor delivers a torque of magnitude 39 N-m about the central axis of the disk. About that axis and with torque applied for 90 ms, what is the magnitude of the (a) angular momentum and (b) angular velocity of the disk? (a) Number i (b) Number i eTextbook and Media Hint Save for Later C 80 Ơ 2 Units Units 0 F5 + G F6 + tv MacBook Air F7 I Attempts: 0 of 4 used Submit Answer DII F8 F9 A F10

In the figure, a 0.400 kg ball is shot directly upward at initial speed 50.0 m/s. What is its angular momentum about P, 6.34 m horizontally from the launch point, when the ball is (a) at maximum height and (b) halfway back to the ground? What is the torque on the ball about P due to the gravitational force when the ball is (c) at maximum height and (d) halfway back to the ground? (a) Number (b) Number (c) Number (d) Number i Jak Units Units Units Units -Ball x

A 7.62 kg particle with velocity = (9.74 m/s )î - (2.04 m/s ) Ĵ is at x = 3.16 m, y = 9.00 m. It is pulled by a 6.30 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?

Can you help me with this physics question? A force vector (2, -1, 4)N acts on a particle at the position (1, -3, 0)m. What is the torque due to this force about the origin?