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27 Nov 2019

A block of mass m is on an inclined plane making a small angle ?from horizontal as shown in the figure below. The x-axis isparallel to the incline with the positive x- and y-directions asshown in the figure. The x-component of the weight along theincline is given by:
A. -mg cos ?

B. mg cos ?

C. -mg sin ?

D. mg sin ?

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Jarrod Robel
Jarrod RobelLv2
7 Nov 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

An inclined plane of angle ? = 20.0° has a spring of force constantk = 450 N/m fastened securely at the bottom so that the spring isparallel to the surface as shown in the figure below. A block ofmass m = 2.47 kg is placed on the plane at a distance d = 0.279 mfrom the spring. From this position, the block is projecteddownward toward the spring with speed v = 0.750 m/s. By whatdistance is the spring compressed when the block momentarily comesto rest?

1. A block is placed on a plane whose angle of inclination is 30˚. The coefficients of static and kinetic friction for the block on the inclined plane are both 0.2. The block
(A) remains stationary on the inclined plane.
(B) accelerates down the inclined plane.
(C) travels down the inclined plane at a constant velocity.
(D) travels up the inclined plane at a constant velocity.
(E) accelerates up the inclined plane.

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3. A 5-kg object slides down a frictionless surface inclined at an angle of 30˚ from the horizontal. The total distance moved by the object along the plane is 10 meters. The work done on the object by the normal force of the surface is?

4. A mass m = 2.5 kg is sliding along a frictionless table with initial speed v as shown in the figure. It strikes a coiled spring that has a force constant k = 500 N/m and
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A block of mass m rests against a spring with a spring constant of k on a rough inclined plane which makes an angle of θ degrees with the horizontal. The block compresses the spring a distance d from its neutral position, and friction is preventing the block from moving up the ramp. Use Fsp as the spring force, Fs for the force of static friction, and Fk as the force of kinetic friction. Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal to the plane, without as positive. Denoting the coefficient of static friction by us, Write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane. Use defined quantities and g in your expression.

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