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A person of mass M lies on the floor doing leg raises. His leg is 0.85m long and pivots at the hip. Treat his legs (including feet) as uniform cylinders, with both legs comprising 34.5% of body mass, and the rest of his body as a uniform cylinder comprising the rest of his mass. He raises both legs 60? above the horizontal.
Part A: How far does the center of mass of each leg rise?
Part B: How far does the entire body's center of mass rise?
A fire in an enclosure has reached flashover, & the gas temperature is assumed to be uniform at 1000oC. The enclosure has an opening 3 m wide & 2 m high. Find the position of the neutral layer, measured from the bottom of the opening.
A plane diving with constant speed at an angle of 51.7° with the vertical, releases a package at an altitude of 437 m. The package hits the ground 2.93 s after release. How far horizontally does the package travel.
A horizontal force of magnitude 100 N begins to pull directly on block. In unit-vector notation, what are the resulting accelerations of (a) block and (b) slab.
Gold, which has a density of 19.3 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber.
What is the minimum coefficient of friction between tires and road.
What is the linear charge density together the arc.
With what minimum speed should you toss a 140g ball straight up to hit the 11.0m-high roof of the gymnasium if you release the ball 1.30m above the ground? Resolve this problem using energy.
In order to drop a Pyrex glass marble 1.003 in diameter through the hole in the plate, how much must the temperature of the system be raised? (Assume the plate and the marble are always at the same temperature.)
Two particles of charge Q(-L,0) and nQ(αL,0) where n = 10. When a third charge is placed at the origin, it is found that the force on it is zero. Find out α.
A car takes 11 s to go from v = 0 to v = 75 m/s at approximately constant acceleration. If you wish to find the distance travelled using equation d = 1/2 at2, what value should you use for a.
An air-filled capacitor is formed from two long conducting cylindrical shells that are coaxial and have radii of 37 mm and 92 mm. The electric potential of the inner conductor regarding the outer conductor is -574 V.
The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space.
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