Problem 2: On the International Space Station an object with mass m = 410 g is attached to a massless string of length L= 0.78 m. The string can handle a tension of T = 9.8 N before breaking. The object undergoes uniform circular motion, being spun around by the string horizontally. What is the maximum speed v the mass can have before the string breaks? Give your answer in units of m/s. V= ||

A mass m = 5.0 kg is attached to the lower end of a massless string of length L = 84.0 cm. The upper end of the string is held fixed. Suppose that the mass moves in a circle at constant speed, and that the string makes an angle theta = 29⁰ with the vertical, as shown in the figure. 3 L S Ө How long does it take the mass to make one complete revolution? What is the tension in the string? N

A skateboarder is attempting to skate through a vertical loop of radius r = 7.5 m. He skates down a ramp and is launched into the loop by an inclined plane that makes an angle of θ = 45 degrees with respect to the horizontal. a. If the skateboarder begins from rest how high does the ramp he starts from have to be so that he does not fall at the top of the loop? Give your answer in meters.

Consider an annular disk rolling down an inclined plane. The annular disk has mass 154 [g], inner radius 8.00 [cm] and outer radius 12.0 [cm]. The inclined plane has a slope that forms an angle of 44.6° with the ground. A.  Suppose that the coefficient of static friction ?s is large enough so that the annular disk rolls without slipping. What is the magnitude of the translation acceleration felt by the annular disk's center of mass in the direction parallel to the slope? B. What is the minimum value that the coefficient of static friction ?s must take so that the annular disk rolls without slipping?