Regarding the figure above, there are three strings tied together suspending a block at rest. Determine the tension in the horizontal string if the mass of the block is 7.5kg.
If needed, g=10ms2.
im an idiot?
To determine the tension in the horizontal string, we need to consider the forces acting on the block and apply Newton's second law of motion.
In this case, the forces acting on the block are the force due to its weight (mg), the tension in the vertical string, and the tension in the horizontal string.
Let's assume that the tension in the vertical string is T1, and the tension in the horizontal string is T2.
Since the block is at rest, the net force acting on it is zero. This means that the sum of the forces in the vertical direction and horizontal direction are both zero.
In the vertical direction:
T1 - mg = 0
Solving for T1:
T1 = mg
Plugging in the given mass:
T1 = 7.5 kg * 10 m/s^2
T1 = 75 N
So, the tension in the vertical string is 75 N.
Now let's consider the forces in the horizontal direction:
T2 = 0
Since the block is at rest, there is no movement in the horizontal direction, and therefore, no net force is required. Therefore, the tension in the horizontal string is zero.
Hence, the tension in the horizontal string is zero.