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A 200-Kg Uniform Door Has a Width of 1

question 18

Essay

A 20.0-kg uniform door has a width of 1.20 m and a height of 2.50 m. The door is mounted on a post by a pair of hinges, marked 1 and 2 in the figure, at the top and bottom of the door. An external force of 60.0 N, at an angle of 30.0° above the horizontal, is applied to the small doorknob, as shown in the figure. The doorknob is 1.00 m above the bottom of the door.
(a) Find the x component of the force that hinge 1 exerts on the door at the top.
(b) Find the SUM of the y components of the forces that hinges 1 and 2 together exert on the door. A 20.0-kg uniform door has a width of 1.20 m and a height of 2.50 m. The door is mounted on a post by a pair of hinges, marked 1 and 2 in the figure, at the top and bottom of the door. An external force of 60.0 N, at an angle of 30.0° above the horizontal, is applied to the small doorknob, as shown in the figure. The doorknob is 1.00 m above the bottom of the door. (a) Find the x component of the force that hinge 1 exerts on the door at the top. (b) Find the SUM of the y components of the forces that hinges 1 and 2 together exert on the door.


Definitions:

Excess Demand

A situation where the demand for a product exceeds its supply at the current price, often leading to price increases.

Equilibrium Quantity

The quantity of goods or services that is supplied and demanded at the equilibrium price.

Demand Increases

A situation where the quantity of a product or service desired by buyers exceeds the quantity supplied at a particular price.

Supply Decreases

A condition in the market where the quantity of a product or service available for sale declines, which can lead to higher prices.

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