an object of mass m = 2,113 g held by a massless string on a frictionless inclined surface. What is the magnitude of the force that the surface exerts on the object if θ = 52 degrees ?
It is not clear to me whether the string is parallel to the inclined plane or otherwise.
The following calculation assumes that the string is parallel to the incline, thus does not affect the normal force.
The weight, mg, is the product of the mass and the acceleration due to gravity, g.
This weight may be resolved into two components,
1. Force pushing the mass down the incline, mgsin(θ). It is parallel to the incline and held by the string.
2. Force acting on the incline, mgcos(θ). The reaction of this force is the force acting on the object by the inclined plane.