Determine the magnitude of the resultant force acting on a 9- kg particle at the instant t = 2s, if the particle is moving along a horizontal path defined by the equations
r=(2t+10) m and θ=(1.5t2-6 t) rad, where t is in seconds.
F= _______
Determine the magnitude of the resultant force acting on a 9- kg particle at the instant t = 2s
Determine the magnitude of the resultant force acting on a 7.5 −kg particle at the instant t=2 s, if the particle is moving along a horizontal path defined by the equations r=(2t+10) m and θ=(1.5t2−6t) rad, where t is in seconds
Q3 At a given instant, the merry-go-round is rotating with an angular velocity w = 20 rpm while the child is moving radially outward at a constant rate of 0.7 m/s. Assuming that the angular velocity of the merry-go- round remains constant, i.e.. = 0, determine the magnitudes of the speed and of the acceleration of the child when he is 0.8 m away from the spin axis. 04. Determine the magnitude of the ag and ag at the instant...
2-1. If θ= 30° and T = 6kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positive x axis. 2-2. If θ = 60° and T = 5 kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positive x axis. 2-3. If the magnitude of the resultant force is to be 9 kN directed along the positive x axis, determine the magnitude...
Prob. 3 If a 2-kg particle moves along a path given by: r(t) = 5 m = constant, and (35) e(t) = 2t rads with t in seconds (36) Sketch and name the entire motion path, and determine the magnitude of the net force and acceleration at any time that you choose.
A particle with a mass of 3.00 kg is acted on by a force F, acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following.(a) Impulse of the force (in kg · m/s) (b) final velocity of the particle (in m/s) if it is initially at rest (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of -2.00...
#1. (a) Determine the magnitude of the resultant force acting at A (as shown in Fig. 1). (b) Determine the magnitude of the projection of the resultant force along the line AO. (6 + 4 = 10 Points) 0.75 m FAB 300 N Fic=450 N 3 m O 2 m / 40°* 2 m B -1 m.
3. Determine the magnitude and coordinate direction angles of the resultant force acting on the bracket. 4. Determine the magnitude and coordinate direction angles of F, so that the resultant of the two forces acts along the positive x axis and has a magnitude of 500 N.
Using a forked rod, a smooth 3-lb particle is forced to move along around the horizontal path in the shape of a limaçon, r = (5+sin o) ft. If 0 = -12 rad, where t is in seconds, determine the force of the rod and the normal force of the slot on the particle at the instant t= 3sec. The fork and path contact the particle on only one side.
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
Determine the magnitude of force F and its direction b in degrees if the magnitude of the resultant force R acting on the bracket is directed along the u axis. Use R = 99 N, F1 = 69 N, F2 = 52 N, a = 50 degrees for your calculations.