Problem: 9 A disc with an angular velocity and acceleration of 10 rad/s and 3 ra

Question

Problem: 9

A disc with an angular velocity and acceleration of 10 rad/s and 3 rad/s2 rolls without slipping. The disc's radius is 0.3 m. What is the acceleration of point A at the instant shown?
a. 2.8i - 18j m/s2 b. 0.60i - 15j m/s2 c. 1.8i - 30j m/s2 d. 3.2i - 10j m/s2 e. 7.2i + 30j m/s2 Problem: 9 A disc with an angular veloc A disc with an angular velocity and acceleration of 10 rad/s and 3 rad/s2 rolls without slipping. The disc's radius is 0.3 m. What is the acceleration of point A at the instant shown? a. 2.8i - 18j m/s^2 b. 0.60i - 15j m/s^2 c. 1.8i - 30j m/s^2 d. 3.2i - 10j m/s^2 e. 7.2i + 30j m/s^2

Explanation / Answer

a_rad = w^2*R = 10*10*0.3 = 30 m/s^2        down wards

a_tan = alfa*2R = 3*2*0.3 = 1.8 m/s^2          towards left

c.    1.8i - 30j m/s2

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