A brick that weighs 23 kg is laying on a table. The brick is retained. From the brick, a thread is connected via a castor to a weight with the mass of 19 kg.
With how much force do the thread effect the hanging weight if you release the brick. Coefficient of friction between the brick and the surface is 0,17. Don't mind the other frictionlosses.
weight of brick = m g = 23 * 9.81=226 N
friction resistance maximum = 226*.17= 38.4 N
on brick:
T - 38.4 = 23 a so a= (T-38.4)/23
on weight
19*9.81 - T = 19 a so a = (186-T)/19
23(186-T) = 19(T-38.4)
solve for T, the tension in the thread.
To calculate the force with which the thread affects the hanging weight, you need to consider the gravitational force acting on both objects and the friction between the brick and the table surface. Here's how you can break down the problem and solve it step by step:
1. Calculate the gravitational force acting on the brick:
F_gravity_brick = mass_brick * g
F_gravity_brick = 23 kg * 9.8 m/s²
F_gravity_brick = 225.4 N
2. Calculate the gravitational force acting on the hanging weight:
F_gravity_weight = mass_weight * g
F_gravity_weight = 19 kg * 9.8 m/s²
F_gravity_weight = 186.2 N
3. Determine the force of friction acting between the brick and the table surface:
F_friction = coefficient_friction * F_normal
F_normal = mass_brick * g
F_friction = 0.17 * (23 kg * 9.8 m/s²)
F_friction = 38.198 N
4. Calculate the net force acting on the hanging weight:
In the given scenario, as the brick is released, the only force acting on the hanging weight is the tension in the thread. Therefore, the net force is the difference between the gravitational force on the brick and the force of friction:
F_net = F_gravity_brick - F_friction
F_net = 225.4 N - 38.198 N
F_net = 187.2 N
Therefore, the thread exerts a force of approximately 187.2 Newtons on the hanging weight when the brick is released.
Note: This calculation assumes ideal conditions and neglects other sources of friction or any other external forces that may be present.