Question

3 pts each la) A solid disk and a hoop have the same mass and radius. If they have the same angular momentum, the angular speed of the disk is than the angular speed of the hoop. a) four times larger b) two times larger c) two times smaller d) four times smaller 1b) An object undergoing simple harmonic motion has a maximum potential energy of 12 J when it reaches its maximum displacement x = A. What the object's displacement is x = A/2, how much kinetic energy does it have? a) 3J b) 6J c) 9 ] d) 12J 1c) A solid sphere rolls without slipping down a ramp, reaching a center of mass speed Vcm at the bottom. If instead the sphere slides without rolling, in order to have the same speed Vcm at the bottom of the ramp the sphere's starting height must be a) higher b) the same c) lower 1d) 1 Two identical forces Fact on a uniform rod that can pivot around one end as shown. If the force at the midpoint produces double the torque compared to the force at the end, what is 0? a) 14.50 b) 30.0° c) 75.5° d) not possible

Answer 1

Use the given formulae.

mementum of Solid disk & hoop Ans: (a) I. W = I2Wq I w, & IL C2 is angular hoop respectively &o : I wa Iwa LMRW, = AIR CO eo 2 wa 12 J is (5) According geven information PIE C max.) i when the the object displacement kot Lake ( Art - A ) = fk (34) 3K equation o Put value in 3 КАә IJ £KA² LK (A² - x²) x = 1/2 kotis 8 from 9 3 3 x 243 O Vem while ro rolling Vem It ke Yen while sletting Vem = ragh Igh 1+ kg Sagh from this, we can conclude, be same. height should (d) T = E ef singo 2 Fsimal 2 L Flos & singo 2 Cosa x 1 Flose 75.52