The position vector of a particle is given by r⃗ = 3ti⃗ + 4t2j⃗ −2 (t3...
The position vector of a particle is given by r⃗ = 3ti⃗ + 4t2j⃗ −2 (t3 + 1) k⃗ where t in seconds and r⃗ in meters. Determine the Power P developed by the force F⃗ = 10i⃗ −2j⃗ −9k⃗ N acting on the particle at t = 3 s.
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The position vector of a particle is given by r⃗ = 3ti⃗ + 4t2j⃗
−2 (t3...
The position vector of a particle whose mass is 3.0 kg is given by: r =...
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
The position vector of a particle of mass 2.10 kg as a function of time 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...
nts) The position vector of a particle of mass 2.5 kg as a function of time...
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.
Suppose that the position vector of a particle is given by the following function of time:...
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?
The position of a particle moving along an x axis is given by x = 13.0t^2...
The position of a particle moving along an x axis is given by x = 13.0t^2 - 5.00t&3, where x is in meters and t is in seconds. Determine the velocity of the particle at t = 7.00 s.
The vector position of a particle varies in time according to the expression r = 8.20...
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...
4. The position vector of a particle of mass m varies with time according to the...
4. The position vector of a particle of mass m varies with time according to the equation d2 i Find() and the net force acting on the particle at time dt Find also the power P due to the net force at time [10 marks] (ii) By using (), find the work done by the net force on the particle within the period t = 0 to t-r, where r is the time when the particle comes to rest. [10...
The vector position of a particle varies in time according to the expression - 6.20 -...
The vector position of a particle varies in time according to the expression - 6.20 - 9.00-2, where † 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 varlable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and...
The position of a particle is given by the expression x = 4.00 cos (2.00πt + π/2)
The position of a particle is given by the expression x = 4.00 cos (2.00πt + π/2), where x is in meters and t is in seconds. (a) Determine the frequency (b) Determine period of the motion(c) Determine the amplitude of the motion.(d) Determine the phase constant. (e) Determine the position of the particle at t = 0.350 s.
The position of a particle moving along an x axis is given by x = 14.0t^2...
The position of a particle moving along an x axis is given by x = 14.0t^2 - 5.00t^3, where x is in meters and t is in seconds. Determine the position, the velocity, and the acceleration of the particle at t = 6.00 s. What is the maximum positive coordinate reached by the particle and at what time is it reached? What is the maximum positive velocity reached by the particle and at what time is it reached? What is...
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
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...
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...
4. The position vector of a particle of mass m varies with time according to the equation d2 i Find() and the net force acting on the particle at time dt Find also the power P due to the net force at time [10 marks] (ii) By using (), find the work done by the net force on the particle within the period t = 0 to t-r, where r is the time when the particle comes to rest. [10...
The vector position of a particle varies in time according to the expression - 6.20 - 9.00-2, where † 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 varlable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and...
The position of a particle moving along an x axis is given by x = 14.0t^2 - 5.00t^3, where x is in meters and t is in seconds. Determine the position, the velocity, and the acceleration of the particle at t = 6.00 s. What is the maximum positive coordinate reached by the particle and at what time is it reached? What is the maximum positive velocity reached by the particle and at what time is it reached? What is...
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