Ex 1.2, 2

Transcript

Ex 1.2, 2 If the bathroom door has a hinge at B1 and opens into the bedroom, will it hit the wardrobe? Are there any changes you would suggest if the door is made wider? Let’s make a line joining B1 and B2, and then open it from B1 Horizontally From the figure we can see that the Bathroom door doesn’t hit the wardrobe. Let’s look at it Mathematically The door stretches from 𝑩_𝟏 (𝟎, 𝟏.𝟓) to 𝑩_𝟐 (𝟎, 𝟒). Its width is 4−1.5=𝟐.𝟓 feet. If it swings fully open into the room (90^∘ angle), the outer edge traces a path that reaches a maximum distance of 2.5 units into the room (𝒙=𝟐.𝟓). The wardrobe starts at point 𝑾_𝟏, which is at (𝟑,𝟎). Since 2.5 is strictly less than 3 , No, the door will not hit the wardrobe. It will miss it by half a foot. Now, let’s do the next question Are there changes you suggest if the door is made wider? If the door is made 3 feet or wider, it will smash into the wardrobe. To prevent this, we could suggest either of these things Reversing the hinge so the door swings outward into the bathroom instead. Installing a sliding "pocket door" that slides into the wall. Moving the wardrobe further to the right.