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spx (8%) Problem 8: Suppose an object slides down the ramp that is at an angle o

ID: 1886207 • Letter: S

Question

spx (8%) Problem 8: Suppose an object slides down the ramp that is at an angle of 35 degrees. Since forces can be represented with vectors, this gives us a great opportunity to look at some of their properties that are just properties of vectors! The gravitational force points directly downwards and the magnitude of W is 35 N. 50% Part (a) If the object doesn't leave the ramp, what i s the vector component of the gravitational force (the weight vector W) that is paralle to the motion along the ramp? We will follow the typical convention of motion up the ramp as being positive, and motion down the ramp as negative. Grade Summary parallel Poential 100% sin0 cotan0 asinacos0 atan acotan sin0 cosh0ncotanh0 4 5 6 (4% per attempt) detailed view 0 ODegreesRadians I give up! 50% Part (b) what isthe component perpendicular to the motion? we follow the traditional convention that motion away positive, while into the ramp is negative.

Explanation / Answer

here,

theta = 35 degree

weight of block ,W = 35 N

a)

the component of weight along the ramp , Wx = W * sin(theta)

Wx = 35 * sin(35) N

Wx = 20.1 N

b)

the component of weight perpendicular to the ramp , Wy = W * cos(theta)

Wy = 35 * cos(35) N

Wy = 28.7 N