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Super stuck... Help please?

A block of mass 38.7 kg is released on a frictionless ramp with an angle of 41.58 degrees. Find the acceleration.

1 Answer

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  • 6 years ago

    The acceleration you want is the component of the vertical vector of gravity along the ramp. the acceleration along the ramp is gravity times sin of the ramp angle. The sin of the ramp angle is side opposite/hypotenuse and the gravity vector acts straight down which is the direction of the side opposite.

    Draw a pic for yourself showing gravity vector vertical and the ramp starting at the head of the gravity vector and the ramp angle with the ground is 41.58 deg. draw a line from the tail of the gravity vector perpendicular to the ramp. these create the two vectors that add to the gravity vector. The similar triangles say the included angle in the new triangle is 41.58 deg.

    let me know thru comments if you have any trouble.

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