To find the value of R, we need to first calculate the force of gravity acting on the two masses (m1 and m2).
The force of gravity (weight) can be calculated using the formula: F = m * g where F is the force of gravity, m is the mass, and g is the acceleration due to gravity (approximately 9.81 m/s^2).
For each mass: F1 = m1 g F1 = 100 kg 9.81 m/s^2 F1 = 981 N
F2 = m2 g F2 = 100 kg 9.81 m/s^2 F2 = 981 N
Now, the total force acting on the system of two masses is given as: F = F1 + F2 F = 981 N + 981 N F = 1962 N
Since R is the force of tension in the rope, it is equal in magnitude but opposite in direction to the total force acting on the system. Therefore: R = -F R = -1962 N
Therefore, the value of R is -1962 Newtons, meaning the tension force in the rope is 1962 N and acts in the opposite direction to the total force on the system.
To find the value of R, we need to first calculate the force of gravity acting on the two masses (m1 and m2).
The force of gravity (weight) can be calculated using the formula:
F = m * g
where F is the force of gravity, m is the mass, and g is the acceleration due to gravity (approximately 9.81 m/s^2).
For each mass:
F1 = m1 g
F1 = 100 kg 9.81 m/s^2
F1 = 981 N
F2 = m2 g
F2 = 100 kg 9.81 m/s^2
F2 = 981 N
Now, the total force acting on the system of two masses is given as:
F = F1 + F2
F = 981 N + 981 N
F = 1962 N
Since R is the force of tension in the rope, it is equal in magnitude but opposite in direction to the total force acting on the system. Therefore:
R = -F
R = -1962 N
Therefore, the value of R is -1962 Newtons, meaning the tension force in the rope is 1962 N and acts in the opposite direction to the total force on the system.