Lesson: Applications of Newton’s Second Law: Horizontal Pulley

In this lesson, we will learn how to solve problems on the motion of two bodies connected by a string passing over a smooth pulley, where one is on a horizontal table.

Sample Question Videos

  • 02:41
  • 06:34

Worksheet: 25 Questions • 2 Videos

Q1:

A mass π‘šοŠ§ rests on a smooth horizontal table. It is connected by a light inextensible string passing over a smooth pulley fixed at the edge of the table to another mass π‘šοŠ¨ hanging freely vertically below the pulley. A mass of 6.69 kg was added to π‘šοŠ§. When this system was released from rest, it accelerated at 720𝑔. Another mass of 6.75 kg was added to π‘šοŠ§. As a result, the acceleration of the system slowed to 1350𝑔. Determine π‘šοŠ§ and π‘šοŠ¨. Take 𝑔=9.8/ms.

Q2:

A box of mass 120 g was resting on a smooth horizontal table that had a smooth pulley fixed at each end. A light inextensible string is connected to the box and is passed over one of the pulleys, π‘ƒοŒ . The other end of the string is attached to body 𝐴, of mass 470 g, which was hanging freely vertically below the π‘ƒοŒ . Another similar string is connected to the other side of the box and is passed over the other pulley, π‘ƒοŒ‘, and connected to body 𝐡, of mass 390 g, which was hanging freely vertically below π‘ƒοŒ‘. When the box was 260 cm away from pulley π‘ƒοŒ , the system was released from rest. One second later, the mass of body 𝐴 was reduced by 80 g. Find the time, 𝑑, taken from the moment the weight of body 𝐴 was reduced until the box collides with pulley π‘ƒοŒ . Take 𝑔=9.8/ms.

Q3:

Two bodies of masses 590 g and π‘š g are attached to the ends of a light inextensible string passing over a smooth pulley fixed to the edge of a smooth horizontal table. The first body rests on the table, and the other hangs freely vertically below the pulley. If the tension in the string is 90,860 dynes, determine the acceleration of the system. Take 𝑔=9.8/ms.

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