Q$1.($a$)$ A single cylinder reciprocating engine is developing a power of $50$ KW at a speed of $1000$ rpm at the instant when the crank turns by an angle of $45$ from the IDC position. The engine has a stroke volume of $500C{m}^3$ with cylinder bore of $80$ mm $.$ The obliquity ratio of the engine is $4\mathrm{.}0.$ Calculate the normal reaction force exerted by the crankshaft on its support system at this instant.