A garage door of height h and mass m is made of two identical sections ABC and CDE that are connected by a hinge at C. Rollers are mounted at A, B and D. B and D are the midpoints of ABC and CDE respectively. The roller at A moves horizontally, and the rollers at B and D move vertically. The door is operated by a spring of spring constant k attached at A (in reality there are two springs attached to the left and right sides of the door, but to solve this problem we can replace the two springs by just one spring as shown in the picture below). When the door is in the open position (0 = 0°), the spring is stretched by an amount 8o = 0.20 m. Take h = 10 m, m = 400 kg (so each section has a mass = 200 kg), k = 4800 N/m The door is released from rest at 0 = 20°. Find the angular acceleration of each section just after the door is being released. Fully open -Horizontal guide k B urseSmart – Vertical guide h D E -Fully closed Floor

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Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.