Question 9: A uniform round object of mass M and radius R is placed in a box of mass M and length & and they are connected to a block of mass M via string as shown in Figure 5. The coefficients of the static and kinetic friction forces between the box and the surface of the ground as well as between the round object and the box are given by 4, and p, respectively (g is the gravitational acceleration, the spring and the pulley are assumed to be massless, there is no friction between them, and the string is inextendible.) The system is released from rest. The round object starts rolling without slipping. The moment of inertia of the round object about its center of mass is I. When does the round object hit the edge of the box? M M,R,I M Figure 5 Select one: 2( – 2R)(31 + 2M R®) M9R²(1 – 2µ) (e/2– R)(21 + 3M R²) M9R²(1 – 2µ) (e/2-R)(31 + 2MR?) V MgR (1 – 2µ) 2(– 2R)(21 +3MR²) M9R²(1 – 2µ) (e – 2R)(21 + 3M R²) MgR (1 – 2µ) o 2
Question 9: A uniform round object of mass M and radius R is placed in a box of mass M and length & and they are connected to a block of mass M via string as shown in Figure 5. The coefficients of the static and kinetic friction forces between the box and the surface of the ground as well as between the round object and the box are given by 4, and p, respectively (g is the gravitational acceleration, the spring and the pulley are assumed to be massless, there is no friction between them, and the string is inextendible.) The system is released from rest. The round object starts rolling without slipping. The moment of inertia of the round object about its center of mass is I. When does the round object hit the edge of the box? M M,R,I M Figure 5 Select one: 2( – 2R)(31 + 2M R®) M9R²(1 – 2µ) (e/2– R)(21 + 3M R²) M9R²(1 – 2µ) (e/2-R)(31 + 2MR?) V MgR (1 – 2µ) 2(– 2R)(21 +3MR²) M9R²(1 – 2µ) (e – 2R)(21 + 3M R²) MgR (1 – 2µ) o 2
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