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

  • 06:34

Worksheet: 25 Questions • 1 Video

Q1:

A body of mass 7 kg was on a smooth horizontal table. It was attached by two light inextensible strings passing over two smooth pulleys fixed at opposite ends of the table to two bodies of masses π‘š  and π‘š  hanging freely below their respective pulleys. The body and the pulleys were on the same horizontal level. When the system was released from rest, the tension was 10.5 N in the first string and 39.9 N in the second. Determine the acceleration of the system π‘Ž and the masses π‘š  and π‘š  . Take 𝑔 = 9 . 8 m / s  .

Q2:

A body of mass 45 g rests on a smooth horizontal table. Two pulleys, 𝐴 and 𝐡 , are fixed at opposite ends of the table. The body is connected by two light inextensible strings passing over the pulleys, 𝐴 and 𝐡 , two bodies of masses 41 g and 12 g hanging freely vertically below their respective pulleys. The system was released from rest. Determine the tension in each string 𝑇  and 𝑇  in dynes. Take 𝑔 = 9 . 8 / m s  .

Q3:

A body of mass 7 kg rests on a smooth horizontal table with two pulleys fixed at opposite ends. The body is connected by light inextensible strings passing over each of the two pulleys to two bodies, 𝐴 and 𝐡 , of masses 8 kg and 6 kg, respectively, hanging freely vertically below each of the pulleys. Before the system was released from rest, the bodies, 𝐴 and 𝐡 , were 6.3 m and 3.5 m above the ground, respectively. One second after the system was released, both of the strings were cut. Find the times 𝑑  and 𝑑  taken for each of the two bodies, 𝐴 and 𝐡 , to reach the ground. Take the acceleration due to gravity 𝑔 = 9 . 8 / m s  .

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