A wheel is pivoted at its center. It has a radius R and mass…

A wheel is pivoted at its center. It has a radius R and mass M. A piece of clay of mass m and speed v is about to strike it at the bottom edge, tangentially, as shown, and sticks to it. What is the angular velocity of the system right after the collision?                                                      

A mass of 0.5 kg is oscillating on an ideal spring in simple…

A mass of 0.5 kg is oscillating on an ideal spring in simple harmonic motion with position as a function of time given by x ( t ) = ( 7.0  cm ) cos ⁡ ( ( 1.5  rad/s ) t + π 3 ) {“version”:”1.1″,”math”:”x(t)=(7.0\mbox{ cm}) \cos ( (1.5 \mbox{ rad/s} )t +\frac{\pi}{3})”} What is the spring constant of a spring?

A simple pendulum named Bob has a period of small oscillatio…

A simple pendulum named Bob has a period of small oscillations T=1 s on Earth (assume g=9.80 ms2{“version”:”1.1″,”math”:”ms2″} ).  Bob is flown to a planet X and it is found that now its’ period of small oscillations is 2 s. What is the value of specific gravity on the planet X in  m / s 2 {“version”:”1.1″,”math”:”\mbox{m}/s^2″}?