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A system of two paint buckets connected by a light-weight
Chapter 9, Problem 55P(choose chapter or problem)
A system of two paint buckets connected by a light-weight rope is released from rest with the 12.0-kg bucket 2.00 m above the floor (Fig. P7.51). Use the principle of conservation of energy to find the speed with which this bucket strikes the floor. Ignore friction and the mass of the pulley.
Questions & Answers
QUESTION:
A system of two paint buckets connected by a light-weight rope is released from rest with the 12.0-kg bucket 2.00 m above the floor (Fig. P7.51). Use the principle of conservation of energy to find the speed with which this bucket strikes the floor. Ignore friction and the mass of the pulley.
ANSWER:Solution 55P Step 1: T1= 0.5 N T = m g = m a 1 1 1 m 2 T = m a 2 T m g + m g T = m a + m a 1 1 2 2 1 2 m 1 + m g2= m a 1 m a 2 g(m 2 m ) 1 a(m + m2) 1 a = (m m )g/(m + m ) 2 1 2 1