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Answer :
Final answer:
To find the required holding force, you must calculate the normal force of the inclined plane, then use the coefficient of static friction to determine the frictional force. The required holding force is the sum of the component of gravitational force acting along the incline and the frictional force.
Explanation:
To calculate the holding force for a ramp with mass 112 kg at an incline of 26.5 degrees and a coefficient of static friction of 0.448, we first need to calculate the gravitational force acting on the mass and the normal force, which acts perpendicular to the incline.
The gravitational force (fg) = mass * gravity = 112 kg * 9.8 m/s^2 = 1097.6 N.
The normal force is the component of the gravitational force that acts perpendicular to the incline. N = fg * cosθ = 1097.6 N * cos (26.5 degrees).
Then the frictional force (fs), which attempts to resist the sliding motion, can be calculated as fs = μs * N = 0.448 * N.
The holding force is then the sum of the component of gravitational force acting along the incline and the frictional force. Hence, the required holding force = fg * sinθ + fs.
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