(1) Ans. The term Number synthesis has been coined to mean the determination of the number and orders of links and joints necessary to produce motion of a particular DOF . (2) Ans. Link order in this context refers to the number of nodes per link i.e.. binary, ternary, quarternary etc. (3)Ans. here , L = number of links M = mobility or degree of freedom T = Number of ternary links Q = Number of Quartneries P = Number of pentagonals H = Number of hexagonals (4) Ans, To have a desired mobility of M= 3, we should have a minimum number of links equals to 4. L - 4 = T + 2Q + 3P + 4H = 0 so T = Q = P = H = 0 L = B + 0 = 4 So, B = 4 (5)a Ans. If L = 8, L- 4 = T + 2Q + 3P + 4H = 4 B + T + Q + P + H = 8 then H = 1 and P = 0 5 (b) Ans If T = 2 then T + 2Q = 4 B + T + Q = 8 so , Q = 1 and B = 5 Solution (1) Ans. The term Number synthesis has been coined to mean the determination of the number and orders of links and joints necessary to produce motion of a particular DOF . (2) Ans. Link order in this context refers to the number of nodes per link i.e.. binary, ternary, quarternary etc. (3)Ans. here , L = number of links M = mobility or degree of freedom T = Number of ternary links Q = Number of Quartneries P = Number of pentagonals H = Number of hexagonals (4) Ans, To have a desired mobility of M= 3, we should have a minimum number of links equals to 4. L - 4 = T + 2Q + 3P + 4H = 0 so T = Q = P = H = 0 L = B + 0 = 4 So, B = 4 (5)a Ans. If L = 8, L- 4 = T + 2Q + 3P + 4H = 4 B + T + Q + P + H = 8 then H = 1 and P = 0 5 (b) Ans If T = 2 then T + 2Q = 4 B + T + Q = 8 so , Q = 1 and B = 5.