Initials 6. A5 kg particle's position vector is given as rüu) 6ri+3 2k, where r is...
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...
The position vector of a particle whose mass is 3.0 kg is given by: r = 4 0i + 3.0t^2 j +10k, where r is in meters and t is in seconds. Determine the angular moment and the net torque about the origin acting on the particle. Two particles M_1 = 6.5 kg and M_2 = 3.1 kg are traveling with the velocities as shown below Determine the net angular momentum and use the right rule to determine its direction
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...
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.
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
A particle of mass M = 7.5 kg is at a position r = (-3 i + 8 j)m, has velocity v = (-1 i -2 j)m/s and is being acted upon by a force 98 i + 2j)N. Calculate (a) the particle's angular momentum vector and (b) the torque vector acting upon it about the origin.
The vector position of a particle varies in time according to the expression r with arrow = 7.40 î − 5.00t2 ĵ where r with arrow is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) v with arrow = m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol...
Velocity in xy-Plane Part A particle's position in the xy- plane is given by the vector (er-2d+(e-d where c and d are positive constants. Find the expression for the x component of the velocity (for met 0) when the pertide is roving the r-direction. You should express your answer in terms of the variables c endd. First find the velocity vector and use this to determine the times when the particle is traveling in the x or y directions. Tries...
Part A: A particle's position in the xy plane is given by the vector r= (ct^2-3dt^3)i + (2ct^2-dt^3)j where c and d are positive constants. Find the expression for the velocity (for time t > 0) when the particle is moving in the x-direction. You should express your answer in terms of the variables c and d. Part B: Find the expression for velocity (for time t > 0) when the particle is moving in the y direction. Part A...
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?