Prove that the solution for the static friction coefficient μ=tan(φ) is exactly the same even when choosing a different set of axes (i.e. different ones from the one shown in the figure). (Hint: Your x-axis can be parallel to the ground)

The accompanying figure shows a frictionless channel in the shape of a segment of a circle with center at "O". The channel has been anchored to a frictionless horizontal tabletop. You are looking down at the table. Forces exerted by the air are negligible. A ball is shot at high speed into the channel at "p" and exits at "r." Consider the following distinct forces: A downward force of gravity. A force exerted by the channel pointing from q to O. A force in the direction of motion. A force pointing from O to q.     Which of the above forces is (are) acting on the ball when it is within the frictionless channel at position "q"?

A velodrome has an aggressively banked curve, where the surface makes an angle of 58.9 degrees with the horizontal. If you are biking around this curve (such that your path traces a horizontal circle with radius 21.7 m as you go around the turn), and the coefficient of static friction of your bike tires with the velodrome surface is 0.617, what is the minimum speed that you can go before starting to slip down the ramp? Give your answer in km/hr.

Consider a 55-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F₁ is 36 N, find angle a and the magnitude of vector F2. The measure of angle a is (Round to two decimal places as needed.) The magnitude of vector F₂ is N. (Round to two decimal places as needed.) Jα FR 57° (F2

Please give the correct answer

An engineer wants to design an oval racetrack such that 3.20 × 10³ lb racecars can round the exactly 1000 ft radius turns at 1.00 x 102 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle necessary for the race cars to navigate the turns at 1.00 × 10² mi/h without the aid of friction. 0 = What additional radial force F, is necessary to prevent a race car from drifting on the curve at 175 mi/h? This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h. 0 Fr= N

A car rounds a level (unbanked) curve with a radius of 95 m without skidding at a speed of 25 m/s. What is the smallest possible coefficient of friction between the tires and the ground? Is the friction static or kinetic? Include a force (or free body) diagram of the situation.

A car of mass 622 kg is driving around a curve with a circular arc of radius 20 m. If the car drives at a speed of 12 m/s, what is the minimum value of the coefficient of friction between the car's tires and the road that will keep the car on the road?

You are at the top of the Mount Everest whose height is 12,000 ft. Find the gravity force generated by you (80kg) using the provided equation of the attraction force in N?      Please give me answer ASAP.