Question

CLASS ID#: (1) CONCEPT QUESTIONS & SHORT ANSWERS (30 PTS) (A) (10 pts) The slender rods shown each have a total mass of 3m. Each of these is pivoted about a frictionless pin joint at O which for (ii) & (iv) is achieved using thin, ideal rods (.e. rigid and massless). Consider the mass moment of inertia (low) of cach assembly about the axis (k) perpendicular to the page through the fixed pin at O. Using the index numbers (i-iv) provided, list the assemblies in order SMALLEST to LARGEST moment of inertia (low). grouping any with equal values. SMALLEST: LARGEST (iv) 3m 12 12 3m 3 (B) (10 pts) A thin ring and a circular disk, each of mass m and radius R. are released from rest on an inclined surface and allowed to roll a distance D down the incline. Which of the following is true for (Circle One): ) KINETIC ENERGY (KE): KE.<KE. KEX, KEKEKE. (ii) TIME to travel the distance D: Tring fou Ring > (C) (10 pts) Slender bar A is rigidly connected to a massless rod BC in Case I and two massless cords in Case 2 as shown. The vertical thickness of bar A is negligible compared to L. In both cases A is released from rest at an angle 06,20. When 0-0, which of the following is true for (Circle One): ) KINETIC ENERGY (KE): KE <KE KE -KE KE>KE () SPEEDs of CG (NO) Vecr< Ves Vec Ves V> ME 3133: Dynamics Spring

Answer 1

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Thentato perpendicular to the page through the fixed pin at O. Using the index numbers (-i) provided, list the assemblies in order SMALLEST to LARGEST moment of inertia (Lu), grouping any with equal values. SMALLEST LARGEST (1) (iv) o 3m op 12 12 3m 3m 3m (B) (10 pts) A thin ring and a circular disk, each of mass m and radius R. are released from rest on an inclined surface and allowed to roll a distance D down the incline. Which of the following is true for (Circle One): 0 KINETIC ENERGY (KE): KE ,<KEKEREKEKEKEA (ii) TIME to travel the distance D: R RA (C) (10 pts) Slender bar A is rigidly connected to a massless rod BC in Case I and two massless cords in Case 2 as shown. The vertical thickness of bar A is negligible compared to L. In both cases A is released from rest at an angle 0=0,20. When 0-0, which of the following iure Circle One): ) KINETIC ENERGY (KE): KE <KE KE=KE KE>KE (T) SPEEDs of CG (Vc) Vac: <V2 Vec = VG ME 3133: Dynamics Spring