Derive the expressions for A, B, & C in the given figure with the help of clear drawing and stepwise procedure. Also find the expression for the Length of the belt drives for open and closed belt drives.

A compound epicyclic gear train. Wheels A, D, and E are free to rotate independently on spindle O, while B and C are compound and rotate together on spindle P, on the end of arm OP. All the teeth on different gears have the same module. A, B, and C have 14 teeth, 32 teeth, and 16 teeth respectively, which are cut externally. a) Find the number of teeth on wheels D and E which are cut internally. b) Determine the magnitude and direction of the angular velocities of arm OP and gear E If wheel A is driven counterclockwise at 2 r.p.m while D is driven clockwise at 6 r.p.m., and the number of teeth of gears E and D, are 78 and 62 respectively. (Must use Tabular method) another method not accepted). Steps nber of teeth Step1 Step2 Arm OP Gear A Gear B Gear C Gear D Gear E A

Please solve question 4 & 5

Q2/ Two mating involute spur gears of 20* pressure angle have a gear ratio of 2. The number of teeth on the pinion is 20 and its speed is 250 r.p.m. The module pitch of teeth is 10 mm. If the addendum on cach wheel is such that the path of approach and the path of recess on cach side are half the maximum possible length each, find: i) the addendum for pinion and gear wheel, ii) the length of arc of contact, iii)the maximum velocity of sliding during approach and recess. Assume pinion to be driver.