Question

a chandlier with mass m=6.50 Kg is attached to the ceiling of a large concert hall by two cables .cable 1 has as tension T1 and makes an angle of 30 with the ceiling.cable 2 has tension T2 and makes an angle of 48 with the ceiling . determine the values of the tension forces T1 and T2

suppose a 60.0-kg gymnast climbs a rop .in the following question the object of interest is the gymnast.

(a)what is the tension in the rope if he climbs at a constant speed ?

(b)what is the tension in the rope if he accelerates upwards at a rate of 1.50 m/s2?

Answer 1

PLEASE ABIDE BY THE GUIDELINES WHILE POSTING QUESTIONS.....ONE AT A TIME

1) Resolving in components in x and y direction, we have

In x direction

T1*cos 30 = T2*cos 48 ---------------- (1)

In y direction

T1* sin 30 + T2 * sin 48 = mg

T1* sin 30 + T2 * sin 48 = 6.50*9.8

T1* sin 30 + T2 * sin 48 = 63.7 ---------------- (2)

From (1)

T1 = 0.7726*T2

Put this in (2), we get

0.7726*T2*sin 30 + T2 * sin 48 = 63.7

solve for T2,

T2 = 56.4 N

T1 = 43.57 N

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2) (a) at constant speed, T = mg = 60*9.8 = 588 N

(b) T = mg + ma

T = m (g + a)

T = 60 (9.8 + 1.5)

T = 678 N