The 31-kg reel is mounted on the 16-kg cart.  Part A: If the cable wrapped around the inner hub of the reel is subjected to a force of P=50N, determine the velocity of the cart when t = 4.2 s. The radius of gyration of the reel about its center of mass O is kO=250mm. Neglect the size of the small wheels. Part B: Determine the angular velocity of the reel when t = 4.2 s.

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Q: The slender bar OA has a mass of G kg, is released from rest in the vertical position and compresses…

A: G=8, F=10 , H=8 OA Slender Mass (m)=G kg= 8kg Spring Stiffness (k)= F kN/m = 10  kN/m Angular…

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Q: At the instant shown, the uniform slender rod with mass m = 28 kg is pin-supported at point O. It is…

A: given : m = 28 kg M = 60 Nm ω = 5.6 rad/s

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Q: The disk weighs 50 lb and has a radius of gyration (kg) of 0.8 ft, and a couple moment of 35 lb-ft…

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Q: The circular concrete culvert rolls with an angular velocity of w= 0.48 rad/s when the man is at the…

A: Angular velocity = 0.48 rad/s Radius of gyration = 3.6 ft Combined weight = 500 lb

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Q: A 210-lb satellite has a radius of gyration of 20 in. about the y-axis and is symmetric about the…

A: The acceleration of the center of mass. Given: The mass of the satellite is m=21032.2=6.5217 slugs.…

Q: The circular disk of 270-mm radius has a mass of 36 kg with centroidal radius of gyration k = 235 mm…

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Q: The two 10 kg, thin, 1-m long rods are pin connected as shown. The wheel is frictionless with a mass…

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Q: 3. The 30-kg gear A has a radius of gyration about its center of mass O of ko = 125 mm. If the 20-kg…

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Q: The 10-oz disk shown spins at the rate w1 = 750 rpm, while axle AB rotates as shown with an angular…

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Q: Calculate the kinetic energy of the wheel in the position shown, where its angular velocity is ω=2…

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Q: The cable drum has a mass of 610 kg with radius of gyration of 385 mm about its center O and is…

A: Find the velocity of the carriage and angular velocity of the drum.

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A:

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.