One of the oldest magic tricks in the book is ripping a tabl

One of the oldest \'magic tricks\' in the book is ripping a tablecloth off a fully set table. What is the minimum acceleration does the magician need to pull the cloth so that all elements (fork, bowl and glass) will stay on the table(slip but not tip). The fork weighs 0.5kg, the cup 1.2kg, and the bowl weighs 3.3kg. The coefficient of friction between the cloth and the fork is.2 the cloth and the bowl is.35 and the cloth and the glass is.2 The center of gravity for the cup is 3\" above the table. The base is 2\" in diameter with the CG 1\" from either side The center of gravity for the fork is 1\" off the table and 2 inches from either end. The length of the fork is 4\". The center of gravity for the bowl is 1.5\" off the table. The diameter is 5\" with the CG located 2.5\" from either side.

Solution

the center of gravirty for the boll is 1.5 off the table

the diameter is 5 with the CG locateed 2.5 fro either side