The position vector of a particle whose mass is 3.0 kg is given by: r =...
The position vector of a particle of mass 2.10 kg as a function of time is given by r with arrow = (6.00 î + 5.80 t ĵ), where r with arrow is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time. k kg · m2/s 6.00 і + 5.80 tj. where r ıs in meters and t is in seconds. Determine the angular momentum of the...
At time t, r = 7.70t^2 - (8.30t + 3.80t^2) J gives the position of a 3.0 kg particle relative to the origin of an xy coordinate system ( r is in meters and t is in seconds). (a) Find the torque acting on the particle relative to the origin at the moment 4.19 s (b) Is the magnitude of the particle?s angular momentum relative to the origin increasing, decreasing, or unchanging?
A particle P with mass 5 kg has position vector r(r = 7.0 m) and velocity v(v = 5.0 m/s) as shown in the figure. It is acted on by force F(f = 8.0 N). All three vectors is in the xy plane. About the origin, what is the z-component of the angular momentum of the particle? About the origin, what is the z-component of the torque acting on the particle? About the origin, what is the z-component of the...
At time t, r = 5.20t^2 r = 5.20t^2 i - (3.30t + 8.70t^2) j gives the position of a 3.0 kg particle relative to the origin of an xy coordinate system (r is in meters and t is in seconds). (a) Find the torque acting on the particle relative to the origin at the moment 5.05 s (b) Is the magnitude of the particle's angular momentum relative to the origin increasing, decreasing, or unchanging?
nts) The position vector of a particle of mass 2.5 kg as a function of time is given (6 7i+571), where is in meters and t is in seconds. Determine the angular momentum of the particle about the origin at t=2 seconds.
At a particular stant, a 1.0 kg particle's position is r answers in vector form.) (6.01 4.0 + 2.0k) m, its velocity s v = ( 1.01+ 4.0j +10k m/s, and the orce on t is F- 1 2.0i-16 N Express your a) What is the angular momentum (in kg - m2/s) of the particle about the origin? kg·m2/s (b) What is the torque (in N m) on the particle about the origin? (c) What is the time rate of...
A Particle P In Fig. 12-24, a particle P with mass 1.3 kg has position vector r of magnitude 1.3 m and velocity v of magnitude 4.5 m/s. Figure 12-24 A force F of magnitude 1.5 N acts on the particle. All three vectors lie in the xy plane oriented as shown. (a) About the origin, what is the rotational momentum of the particle? _____kg·m2/s k (b) About the origin, what is the torque acting on the particle? _____N·m k...
Initials 6. A5 kg particle's position vector is given as rüu) 6ri+3 2k, where r is in meters ad in seconds. Find the angular momentum of the particle at 1 -3 seconds.
At the instant of the figure, a 4.10 kg particle P has a position vector r of magnitude 9.10 m and angle θ1 = 44.0° and a velocity vector v of magnitude 4.60 m/s and angle θ2= 33.0°. Force F,of magnitude 5.30 N and angle θ3 = 33.0° 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...
Suppose that the position vector of a particle is given by the following function of time: r = (6.0 + 2.0t^2)i + (3.0 - 2.0t + 3.0t^2)j where distance is measured in meters and time in seconds. (a) What is the instantaneous velocity vector at t=2.0 s? What is the magnitude of this vector? (b) What is the instantaneous acceleration vector? What are the magnitude and direction of this vector?