Unvera is operating an apparatus containing a flywheel, which accelerates from rest to an angular speed of 25 rpm, turning through 80 revolutions in the process. How long does Unvera’s flywheel take to accelerate to this speed?

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 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?

Fabien leaps off the edge of a cliff, not realizing he would likely die from the fall. Luckily his friend Gimble snares him with a lasso connected to a 4 m long rope. Once Fabien is hanging stationary with Gimble bravely holding the other end of the rope, Gimble notices that the rope has stretched by 10 cm. Assuming the rope has a diameter of 3 cm and Fabien has a mass of 28 kg, what is the Young’s modulus of the rope?

Glim starts walking to the right along a precariously positioned beam. The 45 kg, 5.0-m-long beam is supported by, but not attached to, two poles placed underneath the beam. The first pole is at the leftmost end, and the second pole is 3 m to the right of the first one. Once Glim gets 1.6 m from the right end of the beam, it starts to tip over. What is Glim’s mass?

All of the following national agencies have regulations or protocols for health care workers who may be exposed to infectious diseases in their work environment EXCEPT:

Luthra spins a 750 g, 35-cm-diameter uniform plastic disk on an axle through its center by a motor. What torque must Luthra set the motor to apply to take the disk from 0 to 2000 rpm while spinning through 100 rotations?

Ellywick decides to try to move through a forest by brachiation, swinging below a handhold to move forward to the next handhold. Weighing 40 kg, Ellywick has an arm length (hand to shoulder) of 0.60 m. We can model her motion as that of a point mass swinging at the end of a 0.60-m-long, massless rod. At the lowest point of her swing, Ellywick is moving at 2.9 m/s. What upward force must a branch provide to support the swinging Ellywick? 

Glim starts walking to the right along a precariously positioned beam. The 45 kg, 5.0-m-long beam is supported by, but not attached to, two poles placed underneath the beam. The first pole is at the left end, and the second pole is 3 m to the right of the first one. Once Glim gets 1.6 m from the right end of the beam, it starts to tip over. What is Glim’s mass?

Blood vessels are found in epithelial tissue, but epithelium is not supplied by nerve fibers.