Chapter 5, Problem 142P

4. The rod ABCD is made of an aluminum for which E = 70 GPa. For the loading shown, determine the deflection of (a) point B, (b) point D. 1.75 m Area = 800 mm² 100 kN B 1.25 m с Area = 500 mm² 75 kN 1.5 m D 50 kN

Research and select different values for the R ratio from various engine models, then analyze how these changes affect instantaneous velocity and acceleration, presenting your findings visually using graphs.

Qu. 7 The v -t graph of a car while travelling along a road is shown. Draw the s -t and a -t graphs for the motion. I need to draw a graph and I need to show all work step by step please do not get short cut  from dtna

An unpressurized cylindrical tank with a 100-foot diameter holds a 40-foot column of water.  What is total force acting against the bottom of the tank?

7. In the following problems check to see if the set S is a vector subspace of the corresponding R. If it is not, explain why not. If it is, then find a basis and the dimension. (a) S = (b) S = {[],+,"} X1 x12x2 = x3 CR³ {[1], 4+4 = 1} CR³ X2

AAA Show laplace transform on 1; (+) to L (y(+)) : SY(s) = x (0) Y(s) = £ [lx (+)] = 5 x(+) · est de 2 -St L [ y (^) ] = So KG) et de D 2 D D AA Y(A) → Y(s) Ŷ (+) → s Y(s) -y

1) In each of the following scenarios, based on the plane of impact (shown with an (n, t)) and the motion of mass 1, draw the direction of motion of mass 2 after the impact. Note that in all scenarios, mass 2 is initially at rest. What can you say about the nature of the motion of mass 2 regardless of the scenario? m1 15 <+ m2 2) y "L χ m1 m2 m1 בז m2 F

8. In the following check to see if the set S is a vector subspace of the corresponding Rn. If it is not, explain why not. If it is, then find a basis and the dimension. X1 (a) S = X2 {[2], n ≤ n } c X1 X2 CR² X1 (b) S X2 = X3 X4 x1 + x2 x3 = 0

2) Suppose that two unequal masses m₁ and m₂ are moving with initial velocities V₁ and V₂, respectively. The masses hit each other and have a coefficient of restitution e. After the impact, mass 1 and 2 head to their respective gaps at angles a and ẞ, respectively. Derive expressions for each of the angles in terms of the initial velocities and the coefficient of restitution. m1 m2 8 m1 ↑ บา m2 ñ В