Calculating Force to Move Piano Down Ramp

[Payne0511]

Homework Statement

A man pushes on a piano with mass 190 {\rm kg} so that it slides at constant velocity down a ramp that is inclined at 15.8^\circ above the horizontal floor. Neglect any friction acting on the piano.

Calculate the magnitude of the force applied by the man if he pushes parallel to the floor.

Homework Equations

I was able to calc the mag of force parallel to the incline using F=M*g*sin(theta). I don't know if this is useful...

The Attempt at a Solution

I thought maybe i could use the cos function instead of sin and it might work but I was wrong. This is the last one for this HW set I cannot get. Not too sure what other equations could be helpful..

thanks

 

[rl.bhat]

Draw the free body diagram.
Force is acting parallel to the floor. Resolve this force along the inclined plane and vertical to the inclined plane. Similarly resolve mg.

 

[tomcue]

I would first clarify the question and make sure all the given information is correct. I would then proceed to solve the problem using the correct equation, which in this case would be F = M*g*sin(theta). This equation takes into account the mass of the piano, the gravitational acceleration, and the angle of the ramp. Since the piano is moving at a constant velocity, we can assume that the force applied by the man is equal to the force of gravity pulling the piano down the ramp. Therefore, the magnitude of the force applied by the man would be equal to the weight of the piano, which can be calculated using the equation F = M*g. Substituting the given values, we get F = (190 kg)*(9.8 m/s^2) = 1862 N.

I would also mention that neglecting friction in this scenario may not accurately represent real-world situations, as friction would likely play a role in the movement of the piano down the ramp. I would suggest including friction in future calculations for more accurate results.