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Drew drops a snowball from the roof of a building, attempting to hit the top of a student's head. Evaporation causes the mass m of the snowball to decrease at a rate proportional to the snowball's speed as the snowball falls, so that m' = k | y' | , where y denotes the vertical distance from the snowball to the student and k is a negative constant. Derive the differential equation governing y(t), neglecting all physical phenomena except the pull of Earth's gravity on the snowball and the variation in the snowball's mass. If Drew wants to drop a rock in addition to the snowball and have both strike the student simultaneously, which should he drop first? Justify your response.
A centrifugal pump, weighing 600N and operating at 1000 rpm, is mounted on six springs of stiffness 6000 N/m each. Find the maximum permissible unbalance in order to limit the steady-state deflection to 5mmm peak-to-peak.
Find the velocity of the bullet and the distance it has traveled into the water after 4 seconds. Please show detailed step by step process to solution.
Determine the largest allowable square cross section of a steel shaft of length 6 m if the maximum shearing stress is not to exceed 135 MPa
consider a conical pendulum that is a ball of mass m at the end of a string of length li moving in a horizontal circle
as shown in the ?gure a bar is supported by two springs and a damper. the bars left end is free to move vertically and
Two slender rods of negligible weight are pin-connected at A and attached to the 18-lb block B and the 80-lb block C as shown. The coefficient of static friction is 0.55 between all surfaces of contact. Determine the range of values of P for which..
A 50 hp motor with an efficiency of 0.80 is to be replaced by a newer model motor with an efficiency of 0.90. The motor is expected to operate 3000 hours per year. The cost of electricity in our area is $0.06 per kWhr.
Determine the magnitude of the horizontal and vertical components of the force of the water on the gate.
Carbon dioxide enters an adiabatic compressor at 100kPa and 300K at a rate of 0.5kg/s and exits at 600kPa and 450K. Considering constant specific heat, determine (a) isentropic efficiency of the compressor (b) the rate of entropy change in (kW/K) ..
the total pressure of air entering a single-stage centrifugal compressor is 1.013 bar and the total t is 288 k. the
A tank with a flat bottom is filled with water to a height of 3.5 meters. what is the pressure at any point at the bottom of the tank? (You can ignore atmospheric pressure when calculating your answer.)
consider a well insulated container of total volume v.a initially the container is divided into 2 equal parts using a
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