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21/10/2017 · Once you finally understand the geometry, you can see why mg x has sin θ and mg y has cos θ. Look at the above diagram again: mg x, which is parallel to the x-axis along the incline, is opposite to θ in the right triangle. Since sine equals opposite over hypotenuse, mg x = mg sin θ. 19/09/2007 · if you use the cosine of this angle, 30degreesor theta, the closest component will be mg cos 30 or mg cos theta. the component, farther, will be mg sin 30 or mg sin theta. now you can use the angle between the component parallel to the slope and the weight. this is equal to 60degrees or 90 - theta. 15/08/2013 · In an inclined plane problem, is the mg sin theta = frictional force when an object is moving up the plane? If the object is moving down, then I know it left behind frictional force and the force that pulls it down is the mg sin theta. But what if the opposite direction? $w_\parallel = w \sin\theta = mg \sin\theta$ Take-Home Experiment: Force Parallel. To investigate how a force parallel to an inclined plane changes, find a rubber band, some objects to hang from the end of the rubber band, and a board you can position at different angles. Inclined Plane Motion. Variation is ma = -mg sin theta - mumg cos theta if motion of block is UP slope. Problem 1: Several ducks have been toying with the idea of pushing a chicken into an oven.

Herrro, does anybody know exactly why, on an incline, to find the component of gravity acting parallel to the incline, mg sin theta is used, and perpendicular to the slope, mg cos theta is used???? Please tell me WHY. Thank you. The frictionless inclined plane. The object accelerates moves faster and faster as it slides down the incline. Required understanding for the inclined plane: To understand the physics and mathematics of the inclined plane you will need to understand vectors, forces, and. Force = mg sin theta. Now if you remember, if you simply remove the mass from the above equation you will be left with the acceleration component of the problem ala the force = mass x acceleration formula. So gsintheta represents A acceleration in the Force = mass times acceleration formula. The 1 in 60 rule used in air navigation has its basis in the small-angle approximation, plus the fact that one radian is approximately 60 degrees. Interpolation. The formulas for addition and subtraction involving a small angle may be used for interpolating between trigonometric table values: Example: sin0.755.

Notiamo ora che l'equazione che ci interessa, in quanto determina il moto angolare del pendolo l'unico non banale, essendo il moto radiale nullo, è solo la seconda, mentre la prima risulterebbe utile solamente per determinare, in seguito, la tensione del filo. Nel secondo problema sul blocchetto agiscono solo forze conservative il peso e la forza elastica, quindi si conserva l'energia meccanica: $mgxh1/2kx^2 = 1/2 k h^2$.