The position of a robot of mass m that moves on the axis and is given by the equation y = 2.5t ^ -2 + 3.4t 3. Where and is measured in cm. Calculate the total force in Newtons acting on the robot.
The position of a robot of mass m that moves on the axis and is given...
A particle moves along the x axis. Its position is given by the equation x = 1.5+ 2.5t -3.8t2 with x in meters and t in seconds. (a) Determine its position when it changes direction (b) Determine its velocity when it returns to the position it had at t =0? (Indicate the direction of the velocity with the sign of your answer.)
A particle moves along the x axis. Its position is given by the equation x = 1.8 + 2.5t − 3.8t2 with x in meters and t in seconds. (a) Determine its position when it changes direction. (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) I have a) as 2.21m, i am having issues solving part (b).
A mass of m kilograams (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixced to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The gravitational force is mg dowswards, where g- 9.8m is acceleration due to gravity, measured...
The position of a particle as it moves along the x axis is given for t > 0 by x = (t^3-3t^2+6t)m. Where is the particle when it achieves its minimum speed (after t = 0)?
A 20 kg mass starting from rest has position dependent force acting on it. The force is: F(x) = 1000 x^2 + 25000 x – 330, with force in newtons and position in meters. The mass moves from x = 0 to x = 70 cm. Find the work done on the mass by this force. Find the final velocity of the mass. Find the average power produced by the force over a time period of 3 seconds.
Q3) A mass of 3 kg moves horizontally along x axis under the action of a force depends on time , given as following: F(t)4N where t in seconds, a) Find the impulse of this force during the interval t= 0 to t-2 S, if the mass starts motion from rest at x-0 b) Find its velocity and position as function of time.
A force acting on a particle moving in the xy-plane is given by F = (2x3y4i+x2y3j), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00 m and y = 5.00 m as shown in the figure. Calculate the work W = F(r) dr done by F on the particle as it moves along a) The purple path b) The red path
#1 A particle of mass, m, moves along the path with its coordinates given as functions of time: x=x, +at?, y = bt, z=ct, where xq, a,b,c are constants. Find angular momentum of this particle with respect to the origin, force acting on this particle and torque acting on this particle with respect to the origin as functions of time. Verify that your results satisfy Newton's second de law for rotation, which is " =FxF.
Particle of mass m moves along x-axis under a conservative force given by F=A(e^(-2(x-xo)/xo)-e^(-x/xo)) where A and xo are constants. Assume potential energy at infinity (Uo) =0. Calculate the potential energy of the particle in term of A,x,and xo.
Given: A particle with a mass of 0.5 kg moves along the x-axis and is braked by a horizontal braking force that provides the following braking acceleration: Ax (vx) = -0.005 vx2 (m / s2) The initial conditions at time t = 2 (s) are: x (2) = 25 (m) and vx (2) = 40 (m / s) The question that is asked is to calculate the amount of labour that the braking force performs between t = 2 (s)...