You put up some shelves in your flat to hold your textbooks. The shelf is w=0.45 m wide, and rests on a ledge on the wall. The far end of the shelf is supported by a piece of string vertically attached to the ceiling. The shelf has a mass of 2.5 kg. This is illustrated in the picture below: For all the questions below, take g=9.8m/s2 and present your answers to 2 s.f. Compute the magnitude of the tension in the string
Question
You put up some shelves in your flat to hold your textbooks. The shelf is w=0.45 m wide, and rests on a ledge on the wall. The far end of the shelf is supported by a piece of string vertically attached to the ceiling. The shelf has a mass of 2.5 kg. This is illustrated in the picture below:
For all the questions below, take g=9.8m/s2 and present your answers to 2 s.f.
Compute the magnitude of the tension in the string
Solution
To calculate the tension in the string, we first need to calculate the weight of the shelf. The weight (W) of an object is calculated by multiplying its mass (m) by the acceleration due to gravity (g).
Given: Mass (m) = 2.5 kg Gravity (g) = 9.8 m/s²
So, Weight (W) = m * g W = 2.5 kg * 9.8 m/s² W = 24.5 N
The shelf is in equilibrium, so the forces acting on it are balanced. This means that the tension in the string (T) is equal to the weight of the shelf.
Therefore, the tension in the string is 24.5 N.
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