Question

A monkey of mass 50 kg climbs on a rope which can withstand the tension (T) of 350 N. If monkey initially climbs down with an acceleration of 4 m/s² and then climbs up with an acceleration of 5m/s². Choose the corret option (g = 10 m/s²)

Options

• T = 700 N while climbing upward 

• T = 350 N while going downward 

• Rope will break while climbing upward 

• Rope will break while going downward

Answer 1

Rope will break while climbing upward 

Explanation:

Given that mass of monkey, m = 50 kg

Acceleration due to gravity, g = 10 m/s²

Tension (T) = 350 N

Given monkey climbs downward, acceleration of monkey, a = 64 m/s²

When monkey climbs upward, acceleration of monkey, a = 5 m/s²

(For upward)

T - mg = ma

⇒ T = mg + ma = 50(10 + 5) = 750 N

Rope will break while climbing upward

(For downward)

T = m(g - a) = 50(10 - 4) = 300 N

Rope will not break while climbing downward.