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A heavy ball is suspended from a fixed point by a light inextensible string of length b. The ball is at rest in the equilibrium position when it is projected horizontally with speed (7gb/2)½.
Find the angle that the string makes with the upward vertical when the ball begins to leave its circular path. Show that, in the subsequent projectile motion, the ball returns to its starting point.
the pilot of an airplane carrying a package of mail to a remote outpost wishes to release the package at the right
A liter of water, initially at 30°C is placed in a refrigerator set to 5°C. Write the equation to find the time it takes a liter of water to cool 7°C, as a function of thermal resistance.
Calculate the final angular velocity of the drum, the angular acceleration of the drum, the work done by the driving motor and the input torque to the drum
the african elephant has developed the pinna or external ear that functions as a radiator-convector. the pinna can be
The excitement builds on the day of the game until you discover that your tickets are still back in your room on your desk. What do you do? What is the problem that you need to solve?
The length of the cable between points A and B is 87 m, and the effective cable mass is 2 kg /m when the buoyancy of the cable is accounted for. Determine the tensions at both A and B.
Based on the given sample data, calculate the probabilities that this process will yield soda cans (i) falling below the lower specification limit and (ii) exceeding the upper specification limit.
a flame that produces 10kw of heat output is applied to one side of a 10cm by 10cm square of aluminum foil. the other
For a part with matrices (0,0,0),(1,0,0),(0,2,0),(0,0,3), find the final shape after being scaled with factors(1,2,3) in x,y,z axis and then mirrored about z=0 plane. Use transformation matrices.
a piston-cylinder assembly contains carbon monoxide modeled as an ideal gas with constant specific heat ratio k 1.4.
air from a line at 12 mpa 15 deg c flows into a 500-liter rigid tank that initially contains air at 100 kpa and 15 deg
air enters a compressor at 300 k and 100 kpa at a volumetric flow rate of 4 m3s. the air is compressed such that the
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