MECHO006 2021 22 4. Figure 4 shows a yo-yo of mass M with an axle of radius b and a spool radius of R. Its mass moment o
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MECHO006 2021 22 4. Figure 4 shows a yo-yo of mass M with an axle of radius b and a spool radius of R. Its mass moment o
MECHO006 2021 22 4. Figure 4 shows a yo-yo of mass M with an axle of radius b and a spool radius of R. Its mass moment of inertia about the centroidal axis is M R/2. The yo-yo is placed upright on a table and the string is pulled with a force F as shown. The coefficient of friction between the yo-yo and the table is , and the cord thickness and air resistance may be neglected. a) What is the maximum value of F for which the yo-yo will roll without slip if 8 = 0? Express your answer as a function of , M, 9, b and R, where g is the acceleration due to gravity. 19 marks b) If the string makes an angle with the horizontal table when pulled, what is the maxi- mum value of 0 if the yo-yo is not to rotate? Express your answer as a function of H., M 9,6, F and R, where g is the acceleration due to gravity. [11 marks F g Figure 4: Yo-yo on table.
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