Answer:
a)T = 8.63 × 10 ⁴ N, b)T = -3.239 × 10 ⁴ N
Explanation:
Given:
W = 27.8 KN = 27.8 × 10 ³ N,
For upward motion: Fnet is upward, Tension T is upward and weight W is downward so
a) a=21.22 m/s² ( not written clearly the unit. if it is acceleration?) then
Fnet = T - W
⇒ T = F + W = ma + W
T = (W/g)a + W (W=mg ⇒m=W/g)
T = (27.8 × 10 ³ N / 9.8 ) 21.22 m/s² + 27.8 × 10 ³ N
T = 86,263.265 N
T = 8.63 × 10 ⁴ N
b) For Declaration in upward direction a = -21.22 m/s²
Fnet = T - W
⇒ T = F + W = ma + W
T = (W/g)a + W
T = (27.8 × 10 ³ N / 9.8 ) (-21.22 m/s²) + 27.8 × 10 ³ N
T = -32395.5 N
T = -3.239 × 10 ⁴ N
as Tension can not be negative I hope the value of acceleration and deceleration is correct.
