A merry-go-round with a moment of inertia equal to 1300 kg⋅m2 and a radius of 2.5 m rotates with negligible friction at 1.70 rad/s. - A child initially standing still next to the merry-go-round jumps onto the edge of the platform straight toward the axis of rotation, causing the platform to slow to 1.35 rad/s.  What is her mass?

A crustacean (Hemisquilla ensigera) rotates its anterior limb to strike a mollusk, intending to break it open. The limb reaches an angular velocity of 175 rad/s in 1.50 ms. We can approximate the limb as a thin rod rotating about an axis perpendicular to one end (the joint where the limb attaches to the crustacean). If the mass of the limb is 28.0 g, the length is 3.80 cm, and the extensor muscle is 3.00 mm from the joint and acts perpendicular to the limb, what is the muscular force required to achieve the blow?

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.947 rad/s. You, with a mass of 65.7 kg, walk clockwise around the platform along its edge at the speed of 1.09 m/s with respect to the platform. Your 20.1 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 17.9 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 91.1 kg and radius 1.95 m. Calculate the total angular momentum of the system. total angular momentum: kg · m?/s

In order to move the rectangular stones which built the pyramids the ancient Egyptians used a system of cylindrical logs placed close to each other on the ground which rolled along (without slipping) as the stone on top was pulled by slaves (it also did not slip). If the radii of the logs were all 19 cm and their maximum angular velocity about their axis was 7 radians per second, what was the maximum linear speed (in m/s) of the pyramid stones