Answer :
By examining the forces and geometry of the tongs and block system, we can determine the smallest allowable value of the coefficient of static friction (μ) to ensure that the block is securely held by the tongs when lifted.
In order to determine the smallest allowable value of the coefficient of static friction between the 500-N concrete block and the tongs at points F and G, we must consider the forces acting on the system. When lifting the block, the vertical force applied by the tongs must equal the weight of the block to prevent it from slipping. Meanwhile, the horizontal force from the friction at F and G must be enough to keep the block in place.
Using the equation for static friction, F_friction = μ * F_normal, we can determine the minimum coefficient of static friction (μ) required to hold the block. By analyzing the forces acting on the block and the tongs, we can establish a relationship between the vertical and horizontal forces, as well as the angles involved in the system.
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