**Problem Statement:**Two blocks of mass $ M_1 $ and $ M_2 $ are connected by a massless string that passes over a massless pulley as shown in the figure. $ M_1 $ has a mass of 3.75 kg and rests on an incline of $ \theta_1 = 57.5^\circ $. $ M_2 $ rests on an incline of $ \theta_2 = 19.5^\circ $. Find the mass of block $ M_2 $ so that the system is in equilibrium (i.e., not accelerating). All surfaces are frictionless.\[ M_2 = \square \ \text{kg} \]**Diagram Explanation:**The diagram shows two inclined planes intersecting at the top where the pulley is placed. The angles of inclination are labeled as $ \theta_1 = 57.5^\circ $ for the incline with block $ M_1 $ (colored pink) and $ \theta_2 = 19.5^\circ $ for the incline with block $ M_2 $ (colored blue). A string is connected from block $ M_1 $, passes over the pulley at the top, and then connects to block $ M_2 $.The goal is for the masses on both inclines to balance each other so that the system is at equilibrium. Since the surfaces are frictionless, only gravitational components along the incline affect the equilibrium.

Given Data Mass of the first block is M1=3.75 kg Angles of inclination are θ1=57.5° and θ2=19.5°…

Two blocks of mass Mj and M2 are connected by a massless string that passes over a massless pulley as shown in the figure. M| has a mass of 3.75 kg and rests on an incline of 0 = 57.5°. M2 rests on an incline of 02 = 19.5°. Find the M2 mass of block M2 so that the system is in equilibrium (i.e., not accelerating). All surfaces are frictionless. kg Figure is not to scale. M2 %3D

Two blocks of mass Mj and M2 are connected by a massless string that passes over a massless pulley as shown in the figure. M| has a mass of 3.75 kg and rests on an incline of 0 = 57.5°. M2 rests on an incline of 02 = 19.5°. Find the M2 mass of block M2 so that the system is in equilibrium (i.e., not accelerating). All surfaces are frictionless. kg Figure is not to scale. M2 %3D

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Problem Statement:**

Two blocks of mass $ M_1 $ and $ M_2 $ are connected by a massless string that passes over a massless pulley as shown in the figure. $ M_1 $ has a mass of 3.75 kg and rests on an incline of $ \theta_1 = 57.5^\circ $. $ M_2 $ rests on an incline of $ \theta_2 = 19.5^\circ $. Find the mass of block $ M_2 $ so that the system is in equilibrium (i.e., not accelerating). All surfaces are frictionless.

\[ M_2 = \square \ \text{kg} \]

**Diagram Explanation:**

The diagram shows two inclined planes intersecting at the top where the pulley is placed. The angles of inclination are labeled as $ \theta_1 = 57.5^\circ $ for the incline with block $ M_1 $ (colored pink) and $ \theta_2 = 19.5^\circ $ for the incline with block $ M_2 $ (colored blue). A string is connected from block $ M_1 $, passes over the pulley at the top, and then connects to block $ M_2 $.

The goal is for the masses on both inclines to balance each other so that the system is at equilibrium. Since the surfaces are frictionless, only gravitational components along the incline affect the equilibrium.

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