7. 8. 10. A cantilever beam carries a uniformly distributed load of 10 N/m as shown in the following figure. X 10 N/m 2m B Find the maximum deflection of the beam. [Hint: the maximum deflection, 8-(2-x)dx] A spring has a natural length of 20 cm. A 40 N force is required to stretch (and hold the spring) to a length of 30 cm. Calculate the work done in stretching the spring from 35 cm to 38 cm. An object travelling on the x-axis has a velocity of v(t) = cos [(1/3)] m/sec at time t. (a) What is its direction and speed at time t=0 sec ? (b) What is its direction and speed at time t= 3 sec ? (c) Find the distance it has travelled from time t=0 sec to time t = 3 sec. (d) Where is it at time t = 3 sec relative to where it was at time t=0 sec ? (Hint: Find displacement.) The velocity v of an object travelling on a straight line is given by v = (- 5 m/sec,

7. 8. 10. A cantilever beam carries a uniformly distributed load of 10 N/m as shown in the following figure. X 10 N/m 2m B Find the maximum deflection of the beam. [Hint: the maximum deflection, 8-(2-x)dx] A spring has a natural length of 20 cm. A 40 N force is required to stretch (and hold the spring) to a length of 30 cm. Calculate the work done in stretching the spring from 35 cm to 38 cm. An object travelling on the x-axis has a velocity of v(t) = cos [(1/3)] m/sec at time t. (a) What is its direction and speed at time t=0 sec ? (b) What is its direction and speed at time t= 3 sec ? (c) Find the distance it has travelled from time t=0 sec to time t = 3 sec. (d) Where is it at time t = 3 sec relative to where it was at time t=0 sec ? (Hint: Find displacement.) The velocity v of an object travelling on a straight line is given by v = (- 5 m/sec,