In the figure shown ,the string and pulley are massless , if m1 = 15 kg and m 2 =10 kg ,the tension in the string is ;
To find the tension in the string, we need to analyze the forces acting on the system.
In the figure given, we have two masses, m1 and m2, connected by a massless string passing over a massless pulley. The string is inextensible and assumed to be massless, and the pulley is also assumed to be massless.
First, let's consider m1. The weight of m1 can be calculated by multiplying its mass by the acceleration due to gravity (g).
Weight of m1 = m1 * g
Next, let's consider m2. The weight of m2 can be calculated in the same way.
Weight of m2 = m2 * g
Now, since the string is inextensible and the pulley is massless, we know that the tension in the string is the same on both sides. Let's call it T.
The force acting on m1 is the tension in the string (T) and the weight of m1 (m1 * g). The net force on m1 is given by:
Net force on m1 = T - m1 * g
Similarly, the force acting on m2 is the tension in the string (T) and the weight of m2 (m2 * g). The net force on m2 is given by:
Net force on m2 = m2 * g - T
Since the pulley is massless, the net force on the pulley is zero. This means that the tension in the string is equal to the weight of m2.
Therefore, T = m2 * g
Substituting the value of m2 (10 kg) and the acceleration due to gravity (approximately 9.8 m/s^2) into the equation, we can calculate the tension in the string:
T = 10 kg * 9.8 m/s^2
T ≈ 98 N
So, the tension in the string is approximately 98 Newtons.