---
title: "A block of mass \\( M \\) is attached to an ideal horizontal spring of spring constant \\( k \\) on a frictionless horizontal surface. When displaced from equilibrium and released, the block oscillates with period \\( T_0 \\). If the block is replaced by a block of mass \\( 4M \\) attached to the same spring and set into oscillation, what is the new period of oscillation in terms of \\( T_0 \\)?"
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url: "https://nerd-notes.com/ubq/120995/"
date_modified: "2026-08-23T04:45:02+00:00"
---

# A block of mass \( M \) is attached to an ideal horizontal spring of spring constant \( k \) on a frictionless horizontal surface. When displaced from equilibrium and released, the block oscillates with period \( T_0 \). If the block is replaced by a block of mass \( 4M \) attached to the same spring and set into oscillation, what is the new period of oscillation in terms of \( T_0 \)?

A block of mass \( M \) is attached to an ideal horizontal spring of spring constant \( k \) on a frictionless horizontal surface. When displaced from equilibrium and released, the block oscillates with period \( T_0 \). If the block is replaced by a block of mass \( 4M \) attached to the same spring and set into oscillation, what is the new period of oscillation in terms of \( T_0 \)?

![A schematic diagram showing a horizontal mass-spring oscillator on a flat surface. On the left, a vertical wall has diagonal hatching along its left edge to indicate a fixed boundary. Extending horizontally from the wall to the right is a coiled wire spring with several evenly spaced turns. The right end of the spring is attached to the left face of a solid rectangular block resting on a horizontal ground line. The block is labeled with the uppercase letter \( M \) in its center. The horizontal ground line extends beneath the wall and block. No other labels, arrows, dimensions, coordinate axes, or text appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460302-nmBB60.jpg)

- **A.** \( \dfrac{1}{4}T_0 \)
- **B.** \( \dfrac{1}{2}T_0 \)
- **C.** \( T_0 \)
- **D.** \( 2T_0 \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120995/*