Carlin hangs a sign in front of her shop with a cable held a…

Carlin hangs a sign in front of her shop with a cable held away from the building by a lightweight pole. The cable makes an angle of 60 degrees with the wall, and the sign hangs from the edge of the pole, which has a length of 1.5 m and is perpendicular to the wall. Once the sign is hung, Carlin measures a tension in the cable of 150 N. What is the mass of the sign?

Two planets, Fibblestib and Dimble, orbit a single star. The…

Two planets, Fibblestib and Dimble, orbit a single star. The gravitational force from the star on planet Fibblestib is five times the force from the star on planet Dimble. Also, planet Dimble has three times the mass of planet Fibblestib. What is the ratio of the two planets’ orbital radii RFibblestib/RDimble?

Orryn sets up a mass and pulley system, as shown in the figu…

Orryn sets up a mass and pulley system, as shown in the figure. A string is wrapped around a non-uniform pulley of radius 10 cm, which can rotate freely about its center axis. The loose end of the string is attached to a block. The block and pulley each have mass 4.5 kg. If Orryn observes the block accelerate downwards at a rate of 5.2 m/s2, what is the moment of inertia of the pulley?