Home Physics System of Particles Rotational Motion Mix A homogeneous rod of mass 3 kg is pushed alo…
Physics System of Particles Rotational Motion Mix Subjective Type
Published on: September 12, 2026

A homogeneous rod of mass 3 kg is pushed along smooth horizontal surface by a horizontal force F = 40 N. The angle ' θ ' (in degree) for which rod has pure translation motion minus 30 degree is (g = 10m/s 2 ) –

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
B
Step 1: Analyze the forces acting on the rod.
The force F is pushing the rod horizontally, initiating translational motion. The angle θ is related to the normal force and gravitational force due to the weight of the rod. To ensure pure translational motion, the line of action of the force F must pass through the center of mass of the rod. This can be achieved by adjusting θ accordingly.

Step 2: Set up the equations.
- The weight of the rod (W) = mg = 3 kg * 10 m/s² = 30 N.
- The normal force (N) acts vertically upward.
For pure translation, we need to balance the torques about the center of mass. Assuming the rod has length L, the force F needs to create a couple with respect to the gravitational force acting at the center of mass.
Step 3: Calculate the necessary angle θ.
Using the condition that the angle θ for pure translation minus 30 degrees gives us the angle required to maintain the system.

Hence, if θ is the actual angle, θ - 30° = 0 (for pure translation), we find θ = 30° (where pure translation is obtained). The answer to the question for which rod has pure translation motion minus 30 degrees is thus 30 degrees + 30 degrees = 60 degrees.
Therefore, the answer is B (60°).

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.