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- The parametric equations of the plane curve known as a cycloid are x=a(sin) and y=a(1cos). Use integration to find the coordinates of the centroid of the cycloid obtained by varying from 0 to 2 rad.The thin-walled cylindrical can with a spherical dimple weighs 0.2 lb. Determine the force P required to push the can into water to a depth of 8 in. Use =0.036lb/in.3 for water.A man weighs 170 lb on the surface of the earth. Compute his weight in an airplane flying at an elevation of 28 000 ft.
- Find the elevation h (km) where the weight of an object is one-tenth its weight on the surface of the earth.A car of mass 250 kg and volume of 64 m3 is submerged in s river. A crane is used to pull the car from river with the help of a rope. Calculate the tension in th rope.b. The skateboarder in Figure is coasting down a ramp of 300 degree,weight of the person is575 N and the frictional force is 125 N. Find the normal force from the surface.Also, determine the net work done by the three forces when the person coastingdown for a distance of 9.0 m.
- A water tank of cross-sectional area 2.5 m2 and height 120 in contains 1500 (US) gallons of water. If the density of water is 1000 kg/m3, calculate the force on the base of the tank.A body of mass 20 kg is subjected to a force 45 kN horizontally. What will be the acceleration of bodyCalculate the rection forces when the radius of the pulleys are 0,1 m and K = 1200 N.
- A car delivers 160 hp to a winch used to raise a load of 1260 kg . Determine the maximum speed of lift.A clock is powered by a 1.54 kg mass hanging on a chain passing over and engaging a 4.21-cm diameter pulley of the clock mechanism. Calculate the energy in Joules has been put into the clock mechanism when the weight drops 2.162 m.Given that the compressor's energy input is 2100 kJ and the heat provided is 3500 kJ. The area is reported as 0.08m with a diameter of 0.2050 m. To get the energy balance, solve for the Energy In.