During the design of the spring-support system for the m, = 3590 kg weighing platform, it is decided that the frequency of free vertical vibration in the unloaded condition shall not exceed 6.5 cycles per second. mt mp k а) Determine the maximum acceptable spring constant k for each of the three identical springs. Insert your answer in k N/m correct up to at least a third decimal place. b) For spring constant, what would be the natural frequency fn of vertical vibration of the platform loaded by the m; = 55 Mg truck? Insert your answer in Hz correct up to at least a third decimal place.

Suppose that you drive from College Station to Houston (say 100 miles) and it takes you 90 minutes to get there. Now suppose that your on-board computer calculates your average velocity as follows: it samples your current velocity every second, and it calculates the average of all the velocities measured over the span of the trip. What is your best guess for what answer your computer calculates for the average velocity?

10. Suppose a stone is dropped from the observation deck of the Space Needle in Seattle, 160 meters above the ground. How long will it take for the stone to hit the ground? (You will need to know that the acceleration of gravity is a = -9.8 meters per second?.)

. At wind speeds above 1000 cm/sec, significant sand–moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. 75 wind speed readings gave an average velocity of x =1045 cm/sec. Based on long–term experience,  can be assumed to be 240 cm/sec Find a 99% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number) (DO A MANUAL CALCULATION, SHOWING ALL WORK INCLUDING THE EQUATION USED AND THEN WITH ALL VALUES PLUGGED INTO THE EQUATION)(SHOW WORK ABOVE) [final answer] Margin of Error: E = (value with units)[final answer] Confidence Interval : _________________ < __________________ < __________________ (value with units) (correct symbol) (value with…

How much time is needed for a 15,000 W engine to do 1,800,000 J of work? (Power: P = W/t) O 0.008 s O8s O 120 s O 1,785,000 s Mark this and return Save and Exit Next W ContentViewers/AssessmentViewer/Activit.. 8