Final answer:
To calculate the force P required to move the pole, we need to consider the forces acting on the pole and the friction force. The force required to move the pole is P = 2*(μ*m*g), where μ is the coefficient of static friction.
Step-by-step explanation:
To calculate the force P required to move the pole, we need to consider the forces acting on the pole and the friction force. Since the pole is at equilibrium, the sum of the forces must be equal to zero. The weight of the pole is given by m*g, where m is the mass of the pole and g is the acceleration due to gravity.
The forces acting on the pole are the vertical force at the left contact point, the vertical force at the right contact point, and the horizontal force P. The vertical forces can be calculated by multiplying the weight of the pole by the coefficient of static friction at each contact location. Since the pole is uniform, the distances from the left contact point to the center of gravity and from the right contact point to the center of gravity are equal.
Therefore, the force required to move the pole is P = 2*(μ*m*g), where μ is the coefficient of static friction.