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The cannon recoils and strikes a plate attached to a spring. Find the maximum spring deflection if the plane is smooth and the spring constant is 500 ft/sec.
Determine the amount of the air (kg) that must be bled off to restore the pressure to its original value at this temperature assuming that the volume does not change.
A temperature of 27°C. 3 litres of gas at the same temperature and pressure are forced into the vessel. The temperature is then raised to 127°C. Calculate the new pressure of the gas.
A beam has a solid square cross section of 100mm and is simply supported by two supports 3m apart. Calculate the dead load that can be safely supported when applied to the middle of the beam.
Find the global minimum via the Golden Section search. Start with a range [5, 10] and iterate until the range is less than 0.5.
Use Excel to solve for the amount of each part that maximizes profit. Which would further maximize profit, hiring an extra 40 hours of fabrication time or finishing time?
Design a V-belt drive for this application, including sheave sizes, center distance etc. The motor size limits that the center distance be at least 22 inches.
Design a chain drive for a steam turbine driving a centrifugal pump. The input speed is 2200 rpm and output is around 775 rpm.
A fundamental law of motion states that the acceleration of an object is directly proportional to the resultant force exerted on the object and inversely proportional to its mass.
It then increases its speed to 7v while traveling along the same circular path. By what factor has the centripetal acceleration of the particle changed? By what factor has the period of the particle
Determine (a) the exit velocity of the nitrogen and (b) the ratio of the inlet to exit area A1/A2. Assume constant specific heat.
Determine the first time (greater than zero) that the position is at its maximum value. Set the argument of the sine or cosine function to the value that satisfies the stated condition, and solve for
Determine the radius of the orbit and the speed of the rocket from the requirement that the centripetal force keeping the rocket in orbit is the gravitational force.
Find the angular frequency rad/s Identify the total mass that is moved back and forth by the spring, and use the mass and spring constant to calculate the angular frequency.
If we want to propel a portion of the rocket to infinity (in the direction tangential to the circular orbit), what's the escape speed from there?
Calculate the mass of the Sun noting that the period of the Earth's orbit around the Sun is 3.156 107 s and its distance from the Sun is 1.496 1011 m.
The hiker tries to signal the pilot by sending transverse pulses up the cable. A pulse takes 0.250 s to travel the length of the cable. What is the acceleration of the helicopter?
The weight of the empty car is 0.4 lb and it holds 2 lb of water. Knowing the top speed of the car is 8 ft/s determine the relative velocity of the water that is being ejected.
Hydrogen gas at 2 atm and 27C is flowing in a neoprene tube 3 mm inside diameter and 11 mm outside diameter. Calculate the leakage of hydrogen through a tube 1 m long in kg mol/s at steady state.
How do you estimate the true strain at the tensile strength condition given only a simple stress-strain curve of a material? Could you please show a simple example with numbers?
The design requires that if temperature increases by 1degreeC, the mercury column in capillary increases by 1cm at least. What is the maximum diameter of capillary?
Derive the variation of transmitted X-Ray intensity as a function of Incident intensity, thickness, density and mass absorption coefficient.
Christian Huygens (1629-1695), the greatest clockmaker in history, suggested that an international unit of length could be defined as the length of a simple pendulum having a period of exactly 1 s.
Calculate the escape speed from the Earth for a 4800 kg spacecraft and determine the kinetic energy it must have at the Earth's surface to move infinitely far away from the Earth. What is its orbita