The 2-lb box slides on the smooth circular ramp. If the box has a velocity of 30 ft/s at A, determine the velocity of the box and normal force acting on the ramp when the box is located at B and C. Assume the radius of curvature of the path at C is still 5 ft.

A car of massm travels around a flat, circular curve of radius r at the fastest possible speed, v = 13.5 m/s without sliding off. The car and road have a coefficient of friction, between them. If the car wishes to take the turn at 2.4x the velocity, by what factor would the radius need to increase (so the car doesn't slide off) ? Give your answer to 1 decimal place.

A curved portion of highway has a radius of curvature of 65 m. As a highway engineer, you want to bank this curve at the proper angle for a steady speed of 22 m/s.(a) What banking angle should you specify for this curve?(b) At the proper banking angle, what normal force and what friction force does the highway exert on a 750 kg car going around the curve at the proper speed?

A car of mass 1.6 kg travels at a constant speed of 72 km/h around a horizontal curvedroad with radius of curvature 190 m. What is the minimum value of µₛ between the roadand the tires that will prevent slippage?

A 0.7-kg mass attached to the end of a string swings in a vertical circle (radius = 2.3 m). When the mass is at the lowest point on the circle, the speed of the mass is 15 m/s. What is the magnitude of the force of the string in newtons (i.e. tension in the string) on the mass at this position?

A small object of mass m = 0.200 kg moves with constant speed in a horizontal circle on the end of a light string that has length / = 0.600 m, as shown in the sketch. The string makes a constant angle of 0 = 45.0° with the vertical. m path (a) What is the tension in the string? (b) What is the magnitude of the acceleration of the mass as it moves in its circular path? (c) What is the period of the motion, the time its takes the ball to complete one revolution?

We learned in class that even though astronauts look like they are floating in space, they really are not weightless. Calculate the acceleration due to gravity of an astronaut on the International Space Station at an altitude of 402 km. (Remember that the radius needed is from the center of the Earth.)

A fighter pilot, whose mass is 76 kg, completes a vertical loop of radius R=464m with a constant speed v=463 m/s. At the bottow of the loop, determine the ratio of the apparent weight of the pilot to his regular weight, .WA/W =? Express your answer in SI units with zero decimal places. Take g=9.8 m/s. R ,

A 1250 kg car traveling at a speed of 25.0 m/s rounds a 175 m radius curve. Assuming that the curve is banked and the road is frictionless, determine the bank angle with respect to the horizontal.

A rod of negligible thickness and mass per unit length å = A sin 0, where A is a constant, is bent in a quarter circle of radius R as shown in the figure below. A particle of mass m is placed at the center of curvature of the rod. Find the x- component of the gravitational force exerted on the particle by the rod. y