The robot in Example 9.5 is known to have a mass of 1.5 kg. Using Excel, determine the work done by the robot’s motor during the first 1.4 seconds of motion as follows:
a. Use Newton’s Law (F = ma), the mass of the robot, and the accelerations of Table 9.1 to determine the force generated by the motor for each data point during the 1.4-second period.
b. Use the force data and the position data (generated in Example 9.5) to plot force versus distance travelled during the first 1.4 seconds of motion.
c. Work W can be defined as follows:
where F is force and x is the distance travelled. Use numerical integration of the curve developed in part b to determine the work done by the robot’s motor. Report your answer in the appropriate units. W Fdx
Example 9.5