Cycloid And Trochoid | Problems on Cycloid And Trochoid
Cycloid : 1 ] Draw the locus of a point on the periphery of a circle which rolls on a straight-line path. Take a circle which rolls on a straight-line path. Take circle diameter as 50 mm. Solution Steps: From center c draw a horizontal line equal to πD (2πr = periphery ) distance. Divide the circle into 8 number of equal parts and in a clockwise direction, after P names 1, 2, 3 up to 8. Divide πD distance into 8 number of equal parts and name them C1, C2, C3...C8. From all these points on circle draw horizontal lines parallel to the locus of C. With a fixed distance CP in compass, C1 as a center, mark a point on a horizontal line from 1. Name it P. Repeat this procedure from C2, C3, C4 up to C8 as centers. Mark point P2, P3, P4, P5 up to P8 on the horizontal lines draw from 2, 3, 4, 6, 7 respectively. Join all these points by curve. It is cycloid. SUPERIOR TROCHOID 2 ] Draw the locus of a point, 5 mm away from the periphery of a circle that rolls on a strai...