1) A 200-g object is held pressed agaist a vertical spring with its lower end fixed on the floor. The spring has a force constant of 100 N/m and is not connected to the object.
If the compression of the spring is 10 cm, what is the maximum speed the object attains when we let go of it?
2) A basic yoyo can be thought as a unifrm disc with a string wound around its circumfarance. The radius of the disc is 5 cm and its mass is 100 g. While holding on to one end of the string, we let the yoyo roll vertically downwards. What is the magnitude of the acceleration of the yoyo in m/s2?
Moment of inertia of a uniform disc = 1/2 mR2
3) A 10-kg mass and 4-m long ladder (uniform density) is resting at against a frictionless wall. The coefficient of static friction between the ladder and the floor is 0.6.
What is the minimum angle, in degrees, the ladder makes with the floor without slipping?
4) An object is launced with an initial velocity of 5 m/s at 45 degrees above the horizontal from the top of a high building at time = 0 seconds. How many seconds after the object is launcehd does its speed double?