A 10 kg block is at rest as shown on a horizontal surface having a coefficient of static friction of `0.7` String -1 is horizontal and string-2 makes an angle of `30^(@)` with the verticle. A mass M hangs from String- 3. Which of the following statement(S) about this situation is //are ? `(g=10m//s^(2))`

Options

A. The largest possible to tension in string 1 is 70 N
B. The ratio `T_(1)//T_(3)` is equal to `tan 30^(@)`
C. The largest possible value of M is approximately 12 kg
D. It is impossible to determine the largest possible value of M

Answer

A, B, C

Explanation

`T_(1)(max)=f_(max)=muN=70N`
`T_(2x)/T_(2y)=tan30^(@)`
`T_(l)cos30^(@)=T_(3)sin60^(@)`
`T_(3)=T_(1)cot30^(@)`
`mg=T_(3)`
`m-T_(3)/g=(70xxsqrt(3))/10 7sqrt(3)approx12 kg`