Physics 203 Test 3.pdf

# 5 two point masses are attached by a massless rod for

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How far up the slope does the sphere roll? 5) Two point masses are attached by a massless rod (for simplicity). They are separated by 2m and each have a mass of 5kg. They spin about the center of the rod with an angular speed of 20rad/s. As the masses spin, they separate to 4m apart. How fast would it be spinning after the separation? 6) A block of unknown substance with width 5cm, length 2cm, and height 3m. A force of 5000N is applied parallel to the top of the block. The top of the aluminum block shifts 2mm. What is the shear modulus of the material? 7) An unusually shaped mass has an unknown moment of inertia about its center of mass. To determine the inertia of the object about its center of mass, you exert a force of 10N at a radius of .2m from the center of mass. You notice an angular acceleration of 2?𝑎𝑑/? 2 . What is the moment of inertia of the object about its center of mass? 8) A solid disk of radius 3m and mass 40kg rotates clockwise with an angular speed of 8 rad/s. A disk rotating counterclockwise with an angular speed of 3 rad/s and a mass of 100kg is dropped on top of the first. What is the final speed of the two disks? How much energy is lost during this interaction? 9) A dentist drill starts from rest. After 3.2 s of constant angular acceleration, it turns at a rate of 2.54 𝑥10 4 𝑟𝑒𝑣 ?𝑖? . Find the drills angular acceleration. Determine the angle, in radians, through which the drill rotates during this period.

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