Use energy methods to find how fast the 2.0-kg mass in Fig. 10-4 is descending after it
Question:
Use energy methods to find how fast the 2.0-kg mass in Fig. 10-4 is descending after it has fallen 1.5 m from rest. Use the same values for I, r1, and r2 as in Problem 10.13.
Problem 10.13
The moment of inertia of the frictionless pulley system illustrated in Fig. 10-4 is I = 1.70 kg · m2, where r1 = 50 cm and r2 = 20 cm. Find the angular acceleration of the pulley system and the tensions FT1 and FT2.
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Step by Step Answer:
As the 20kg mass descends its PEG decreases Meanwhile the 18kg mass rises and its PEG increases The energy difference APEG1 APEG2 must go into the linear KE of the two masses and the rotational KE of the pulleys If the angular speed of the wheel is w then v rw and v rw As the wheel turns through an angle 8 the 20kg mass falls through a distance s and the 18 kg mass rises a ...View the full answer
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