JEE Main 20179 AprilOnline
- Exam
- JEE Main
- Year
- 2017
- Date
- 9 April
- Mode
- Online
- Subject
- Physics
- Chapter
- Laws of Motion
JEE Main 2017 · 9 April · Online · Physics · Laws of Motion
The machine as shown has 2 rods of length 1m connected by a pivot...
The machine as shown has rods of length connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has roller that rolls along the floor in a slot. As the roller goes back and forth, a weight moves up and down. If the roller is moving towards right at a constant speed, the weight moves up with a :
Options
- ASpeed which is of that of the roller when the weight is above the ground
- BConstant speed
- CDecreasing speed
- DIncreasing speed
Correct answer
C. Decreasing speed
Step-by-step solution
and
Vertical velocity of , {v}_{B} = \dfrac{d y}{d t} = \dfrac{d \left[lsin\left(\theta\right)\right]}{d t} = lcos\left(\theta\right)\dfrac{d \theta}{d t}\dfrac{{v}_{A}}{{v}_{B}} = - 2\tan \left(\theta\right) ⇒ {v}_{B} = - \dfrac{{v}_{A}\cot \left(\theta\right)}{2}cot\theta \todecrease.