2. True or False Determine whether the assertions are true or false, and provide a supporting argument. (a) If (f ∗ g)(t) = f(t), then g(t) must be an impulse, δ(t). (b) If the convolution of two functions f1(t) and f2(t) is identically zero, (f1 ∗ f2)(t) = 0 then either f1(t) or f2(t) is identically zero, or both are identically zero.

Afoot bridge is made as a simple deck, 4 m long, with a cross section 2 m (wide) and 20 cm thick, and made of wood. the deck is supported at the two ends. the maximum load allowable on the bridge is 10 tons, provided it is uniformly distributed on the deck. to sense this load, a strain gauge is placed at the center of the bridge and its resistance is monitored. if the sensor has a nominal resistance of 350 s2 and a gauge factor of 3.6, what is the reading of the strain gauge at maximum load? the modulus of elasticity for the wood used in the construction is 10 gpa.