Answer:
- a. The tension in the chain is equal to the force of gravity, the tension in the chain is also 31.36 N.
- b.The force exerted by each side of the chain on the hi`nge is 31.36 N (acting horizontally) as well
None of the given options is correct
Step-by-step explanation:
a) To calculate the tension in the chain of the sandwich board advertising sign, we need to consider the forces acting on the system.First, let's assume that the mass of the sandwich board is evenly distributed between the two sides of the chain. Therefore, each side of the chain supports half of the total mass.
Given that the mass of the sandwich board is 6.40 kg, the mass on each side of the chain would be 6.40 kg / 2 = 3.20 kg.
Next, we can use Newton's second law, F = ma, to calculate the tension in the chain. The acceleration in this case is due to the force of gravity acting on the mass.
The force of gravity can be calculated using the formula F = mg, where m is the mass and g is the acceleration due to gravity (approximately 9.8 m/s²).
Therefore, the force of gravity acting on each side of the chain is F = 3.20 kg * 9.8 m/s² = 31.36 N.
Since the tension in the chain is equal to the force of gravity, the tension in the chain is also 31.36 N.
b) In this case, since the sandwich board is at rest and there is no friction between the legs and the sidewalk, the forces acting on the system must be balanced. The force exerted by each side of the chain on the hi`nge is equal in magnitude but opposite in direction. This is because the chain pulls the h`inge towards the sandwich board, while the h`inge exerts an equal and opposite force on the chain.
To find the magnitude of this force, we can use Newton's third law, which states that for every action, there is an equal and opposite reaction.
Therefore, the force exerted by each side of the chain on the hi`nge is equal to the tension in the chain, which we calculated to be 31.36 N in the previous question.
Thus, the force exerted by each side of the chain on the hi`nge is 31.36 N (acting horizontally).
None of the given options is correct
Your question is incomplete, but most probably the full question was:
A sandwich board advertising sign is constructed as shown in Figure 5.39. Its mass is 6.40 kg. Figure 5.39
(a) Calculate the tension in the chain assuming no friction between the legs and the sidewalk.
(b) What force is exerted by each side on the h`inge? .. N (acting horizontally)