Problem 1: A package is released down on a ramp from the height hı, slides down and compresses the string by an amount d at the end of the ramp. Once the spring bounces back the package is pushed back on the ramp and travels up on the ramp until it momentarily stops at distance lz from the compressed position of the spring. If the coefficient of friction u = 0.3, angle a = 30°, spring deflection d = 0.1 m and length of the ramp package travels l; = 2.5 m, determine the height h2 the package will reach after it bounces back. Solve the problem using the principle of Conservation of Energy Is the answer below correct?

Modern high speed trains do not have perpendicular expansion gaps where rails are joined end-to-end any more they are mostly welded together but what might happen if there was a spell of particularly hot weather that causes inspection of the tracks?

Aheavily insulated piston-cylinder device contains 0.02 m3 of steam at 300 kpa and 200 °c. 1.2 mpa. d this process. team is now compressed in a reversible manner to a pressure of etermine the entropy change and the work done on the steam during this process

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?