The crane shown in the drawing is lifting a 184-kg crate upward with an accelera
ID: 1259603 • Letter: T
Question
The crane shown in the drawing is lifting a 184-kg crate upward with an acceleration of 1.3 m/s2. The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of 130 kg. The cable is then wound onto a hollow cylindrical drum that is mounted on the deck of the crane. The mass of the drum is 150 kg, and its radius is 0.76 m. The engine applies a counterclockwise torque to the drum in order to wind up the cable. What is the magnitude of this torque? Ignore the mass of the cable.
The crane shown in the drawing is lifting a 184-kg crate upward with an acceleration of 1.3 m/s2. The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of 130 kg. The cable is then wound onto a hollow cylindrical drum that is mounted on the deck of the crane. The mass of the drum is 150 kg, and its radius is 0.76 m. The engine applies a counterclockwise torque to the drum in order to wind up the cable. What is the magnitude of this torque? Ignore the mass of the cable.Explanation / Answer
If you draw a free body diagram of the crate, you will see two forces; the tension in the section of the string between the crate and the pulley and the weight of the crate. Since the crate is accelerating upward at 1.3 m/s^2, the tension in the section of the string between the crate and the pulley is greater than the weight of the crate.
Tension
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.