One way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating about their center of mass. A craft has been separated into two parts with a mass of 77100 kg each, at the ends of a cable with their centers of mass 178 m apart, rotating around the center point of the cable with a period of 390 seconds. NewPeriod If the cable is reeled in so that the the centers of the two pieces are now only 110.36 m apart, what will be the new period? A Hint About MỌI A Hint About Period Tnew = Neither of our equations for angular momentum include period. How can we relate period to a quantity that we ARE given (maybe angular speed)? You can model the two spaceships as point masses around a single point in the middle. What will happen to the MỌI of the spaceships when the radius is changed? How can you relate this to angular momentum and period?

help please  An merry-go-round starts from rest  and has an angular acceleration of  3 rad/s2 and covers 415 rad. Determine the time it takes.

Rank the following in order of increasing moments of inertia about the midpoint of the rod. m R 1 m 2m R/2 2 m m/2 2R 3 m/2

Find the moment of inertia for a uniform rod (mass m and length L) about an axis at the position shown in the figure

A 20 kg pulley with a 0.5 m radius is initially at rest. The rotational inertia of the pulley is 0.47 mr2. A 10 kg box hangs from a rope that is wrapped around the pulley that is also initially at rest. The box falls a set distance and gains a velocity of 8 m/s. Calculate the distance that the box fell to reach that velocity.

Calculate the moment of inertia of a skater given the following information. a) The 70-kg skater is approximated as a cylinder that has a 0.144-m radius. kg m? b) The skater with arms extended is approximately a cylinder that is 50.1 kg, has a 0.144-m radius, and has two 0.973-m-long arms which are 3.92 kg each and extend straight out from the cylinder like rods rotated about their ends. kg m?

Find the moment of inertia for a solid sphere that rotates about a point on its surface. a) 3/5 MR^2 b) 3/2 MR^2 c) 5/3 MR^2 d) 7/5 MR^2

A hoop, a spherical shell, a solid sphere, and a disk, all with the same mass and same radius are released from rest at the top of an incline.  If they roll without slipping, which is the first to reach the bottom of the incline? Explain your answer. a) the hoop b) the spherical c) the solid sphere d) the disk