Determine the magnitude of the resultant force acting on a 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 theta = (1.5t^2 - 6t) rad, where t is in seconds.

4 m M = (30t²) N•m F = 15t N. If the rod of negligible mass is subjected to a couple moment of M=29t2 N;M where t is the time in seconds, and the engine of the car supplies a braking force F= 15t N to the wheels, determine the speed of the car at t= 8s. The car at t=0s a a speed of 7 m/s. The total mass of the car and the driver is 158 kg. Neglect the size of the car.

Please help with the attached problem.

The forked rod is used to move the smooth 3 lb particle around the horizontal path in the shape of a limaçon, r=(2+cose) ft. If 0=(0.5t2) rad, where t is in seconds, determine the force which the rod exerts on the particle at the instant t=1 s. The fork and path contact the particle on only one side.