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1. What is the angular momentum of a 0.240-kg ball rotating on the end of a thin string in a circle of radius 1.35 m at an angular speed of 15.0 rad/s ?
2. A diver can reduce her moment of inertia by a factor of about 4.0 when changing from the straight position to the tuck position. If she makes 2.0 rotations in 1.5 s when in the tuck position, what is her angular speed (rev/s) when in the straight position?
3. A person of mass 72 kg stands at the center of a rotating merry-go-round platform of radius 3.3 mand moment of inertia 950 kg⋅m2 . The platform rotates without friction with angular velocity 0.85 rad/s . The person walks radially to the edge of the platform. a. Calculate the angular velocity when the person reaches the edge. b. Calculate the rotational kinetic energy of the system of platform plus person before the person's walk.
4. Four identical particles of mass m are mounted at equal intervals on a thin rod of length l and mass M, with one mass at each end of the rod. (a. If the system is rotated with angular velocity ω about an axis perpendicular to the rod through one of the end masses, determine the kinetic energy of the system. (b. If the system is rotated with angular velocity ω about an axis perpendicular to the rod through one of the end masses, determine the angular momentum of the system.
A triple threaded worm has teeth of 8 mm module and pitch circle diameter of 60 mm. if the worm has 30 teeth of and the coefficient of friction of the worm gearing is 0.057, find Efficiency of the worm gearing
two vehicles approach a right angle intersection and then collide. after the collision they become entangled. if their
Calculate the expectation values , , and for the ground state, | 0 >, and the first excited state, | 1 >, of the harmonic oscillator.
The figure shows an object and its image formed by a thin lens. Assume that L=15.0 cm and y=3.25mm. what is the focal length of the lens? what is the height of the image?
20g of Uranium Carbide (UC) of density 13.6 g/cm^3 is mixed with 15g of uranium dioxide of density 11.2 g/cm^3, Determine the atom densities of U-235 and U-238 in the fuel mixture
A transformer is used to step down the voltage to 120 volts for residential use. Does this mean that the input electrical energy is also reduced? Explain.
In the Biomedical and Physical Sciences building at MSU there are 127 steps from the ground floor to the sixth floor. How much work did the person do
A thin wire is bent into a semicircle, having a radius of curvature equal to 6.40 cm. What is the potential at the center of curvature?
A block of wood has a mass of 3.87 kg and a density of 584 kg/m3. It is to be loaded with lead so that it will float in water with 0.84 of its volume immersed. What mass of lead is needed if the lead is on top of the wood
A rocket is fired vertically upward. At the instant it reaches an altitude of 1000 m and a speed of v1 = 300 m/s, it explodes into three fragments having equal mass. One fragment moves upward with a speed of v1 = 450 m/s following the explosion. The ..
A power supply has an open-circuit voltage of 35.0 V and an internal resistance of 2.00 O. What additional resistance should be added in series
Calculate the x-, y-, and z-components of the electric field. (Use any variable or symbol stated above as necessary.) At which points is the electric field equal to zero?
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