Chapter 12, Problem 66P

A truck travelling at 70km/h suddenly puts on the brakes and it takes 50 seconds to travel the next 1 km. Find the Deceleration and the distance travelled to come to a complete stop.

1. Draw a FBD of the skier during the lifting process. Ensure you include all forces and a coordinate system. 2. Obtain the equation of motion of the skier as a function of the only unknowns x (and/or its derivatives) and T (ie express all other quantities numerically). 3. The skier starts their journey up the ski lift at t = 0, and they reach the top of the slope at tend=224 s. The skier’s position, x, as a function of time, t, over this time period is given by:   Obtain the analytical expression of the tension with respect to time and compute the maximum tension value. Note: The coordinate x is parallel to the slope (in the same direction as the motion of the skier) as marked in the diagram above.

1. Draw a FBD of the skier during the lifting process. Ensure you include all forces and a coordinate system. 2. Obtain the equation of motion of the skier as a function of the only unknowns x (and/or its derivatives) and T (ie express all other quantities numerically). 3. The skier starts their journey up the ski lift at t = 0, and they reach the top of the slope at tend=224 s. The skier’s position, x, as a function of time, t, over this time period is given by: (image of expression) Obtain the analytical expression of the tension with respect to time and compute the maximum tension value. Note: The coordinate x is parallel to the slope (in the same direction as the motion of the skier) as marked in the diagram above.4. Determine an equation for the power exerted from the bar onto the skier with respect to time. 5. Using the power equation, determine how much energy is imparted from the bar to the skier during the lift.6. The skier then reaches the top of the peak and proceeds to ski…