i. Draw the free-body diagram for mass

M

with 4 vectors

Mg,m_(1)g,N

, and

f

. (Pay attention th the given

x

-direction.) [4]\ Q: If there is no friction, the mass

M

will

(A)

move up,

(B)

move down, or

(C)

stay at rest on the inclined plane. Ans:-\ (A or

B

or

C

)[1]\ ii. Draw the free-body diagram for mass

M

with the same 4 vectors. [4]\ Q: If there is no friction, the mass

M

will

(A)

move up,

(B)

move down, or

(C)

stay at rest on the inclined plane. Ans:\ (A or

B

or

C

)[1]\ iii. Please show that (a)

sin\\\\alpha =(m_(1)+m_(2))/(2M)

[3], and\ (b)

f=(m_(2)-m_(1))/(2)g[3]

. (use more paper sheets if needed)

i. Draw the free-body diagram for mass M with 4 vectors Mg,m1g,N, and f. (Pay attention to the given x-direction.) [4] Q: If there is no friction, the mass M will (A) move up, (B) move down, or (C) stay at rest on the inclined plane. Ans: (A or B or C)[1] ii. Draw the free-body diagram for mass M with the same 4 vectors. [4] Q: If there is no friction, the mass M will (A) move up, (B) move down, or (C) stay at rest on the inclined plane. Ans: (A or B or C)[1] iii. Please show that (a) sin=2Mm1+m2 [3], and (b) f=2m2m1g[3]. (use more paper sheets if needed)