Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER 2015
Exam
JIPMER
Year
2015
Subject
Physics
Chapter
Motion in One Dimension

JIPMER 2015 · Physics · Motion in One Dimension

A rod P Q of length l is moving with ends remaining in contact with...

A rod PQP Q of length ll is moving with ends remaining in contact with frictionless wall and floor. If at the instant, shown the velocity of end BB is 2 m/s2 \mathrm{~m} / \mathrm{s} towards negative direction of xx. The speed of end AA will be A rod P Q of length l is moving with ends remaining in contact with frictionless wall and floor. If at the instant,

Options

  1. A3 ms−1\sqrt{3} \mathrm{~ms}^{-1}
  2. B23 ms−1\frac{2}{\sqrt{3}} \mathrm{~ms}^{-1}
  3. C2 ms−1\sqrt{2} \mathrm{~ms}^{-1}
  4. D52 ms−1\frac{\sqrt{5}}{2} \mathrm{~ms}^{-1}

Correct answer

B. 23 ms−1\frac{2}{\sqrt{3}} \mathrm{~ms}^{-1}

Step-by-step solution

From the diagram in question, x=1cos⁡θ and y=1sin⁡θ∴vx=dxdt=−1sin⁡θ⋅dθdt\begin{array}{rlrl}x & =1 \cos \theta \text{ and } y=1 \sin \theta \\ \therefore \quad & v_x & =\frac{d x}{d t}=-1 \sin \theta \cdot \frac{d \theta}{d t}\end{array} and vy=dydt=1cos⁡θdθdt\quad v_y=\frac{d y}{d t}=1 \cos \theta \frac{d \theta}{d t} ∴vyvx=−cot⁡θ\therefore \quad \frac{v_y}{v_x}=-\cot \theta or vy=−vxcot⁡θv_y=-v_x \cot \theta Since, vx=−2 m/s\quad v_x=-2 \mathrm{~m} / \mathrm{s} Hence, vy=(−2)cot⁡60∘=−2×13v_y=(-2) \cot 60^{\circ}=-2 \times \frac{1}{\sqrt{3}} =−23 ms−1=-\frac{2}{\sqrt{3}} \mathrm{~ms}^{-1} The negative sign indicates the motion towards negative direction of YY.
Practice Motion in One Dimension on Quantrex Academy →

More from Motion in One Dimension

A vehicle runs on a straight road of length 'L'. It travels half the distance with speed… MHT CET Medical 2026For uniform acceleration in linear motion which of the following is NOT CORRECT ? MHT CET Medical 2026Two cars, P and Q move toward each other, getting 8\ m closer every second. If they move… MHT CET Medical 2026A block is kept on the floor of an elevator at rest. The elevator starts descending with… MHT CET Medical 2026The acceleration (a ) -time (t ) graph for the body starting from rest is as shown in the… MHT CET Medical 2026A train accelerates from rest at a constant rate 'p' for some time (attains velocity 'v')… MHT CET Medical 2026The following plots show variation of velocity ( v ) with time ( t ), of a ball thrown… NEET 2026Consider a particle moving along a straight line, whose position as a function of time is… NEET 2026 Full Motion in One Dimension list All JIPMER PYQs