A car of mass m=1200 kg is traveling around a curve with a radius of 50 m on a banked
road. The curve is banked at an angle of 30\deg . Assume that the road is frictionless.
a. Calculate the speed at which the car can safely navigate the curve without slipping.
b. If the car travels at a speed of 25 m/s, determine the minimum coefficient of
friction required to prevent the car from skidding.
5. Two masses, m 1 =6 kg and m 2 =4 kg, are connected by a light, inextensible string passing
over a frictionless pulley in an Atwood machine setup.
1. Find the tension in the string.
2. Determine the acceleration of the system.
6. A particle moves in a plane under the influence of a constant force. The force vector is
given by ๐นโ = 3 i โ 4 j N, where i and j are the unit vectors in the x- and y-directions,
respectively. The particle undergoes a displacement from the origin to the point (2, โ3) m.
1. Express the displacement vector in unit vector notation.