A horizontal force is used to push an object of mass m up an inclined plane.The angle between the plane and the horizontal is $\theta$.The normal reaction force of the plane acting on the mass m is
A)mg cos $\theta$ + F cos $\theta$
B)mg cos $\theta$
C)mg cos $\theta$ + F sin$\theta$
D)mg cos $\theta$ - F cos $\theta$
E)impossible to determine because the coefficient of friction is not given.

Question

A horizontal force  is used to push an object of mass m up an inclined plane.The angle between the plane and the horizontal is $\theta$.The normal reaction force of the plane acting on the mass m is
A)mg cos $\theta$ + F cos $\theta$ 
B)mg cos $\theta$ 
C)mg cos $\theta$ + F sin$\theta$ 
D)mg cos $\theta$ - F cos $\theta$ 
E)impossible to determine because the coefficient of friction is not given.

Quizplus · Accepted Answer

The normal reaction force of the plane is equal and opposite to the component of the weight of the object perpendicular to the plane, which is mg cos F1F1F1S1F1F1F10. In addition, a component of the applied force F is also perpendicular to the plane, which contributes to the normal reaction force. This component is F sinF1F1F1S1F1F1F10. Therefore, the total normal reaction force is mg cos F1F1F1S1F1F1F10 + F sinF1F1F1S1F1F1F10.

A Horizontal Force Is Used to Push an Object θ\thetaθ

A Horizontal Force Is Used to Push an Object $\theta$