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Byju's Answer

Standard VIII

Physics

Free Body Diagram

a monkey of m...

Question

a monkey of mass 40 kg climbs on a rope which can withstand maximum tension of 600N. in which of the following cases will the rope break?
1.climbs up with an acceleration of 6m/s?
2.climbs down with an acceleration of 4m/s?
3.climbs up with a uniform speed of 5m/s

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Solution

Given Mass of monkey = 40 kg, acceleration due to gravity = 10 m/s², rope tension = 600 N
case i = T- mg = ma
T = m(g + a) = 40 (10+6) =640 N > 600 N so rope will break.
case ii T = m(g- a) = 40 (10- 4) =240 N < 600 N so rope will not break.
case iii T- mg = 0, T = mg = 40 *10 =400 N < 600 N so rope will not break.

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Similar questions

A monkey of mass 40 kg climbs on a rope (Fig. 5.20) which can stand a maximum tension of 600 N. In which of the following cases will the rope break: the monkey

(a) climbs up with an acceleration of 6 m s^–2

(b) climbs down with an acceleration of 4 m s^–2

(d) falls down the rope nearly freely under gravity?

(Ignore the mass of the rope).

Fig. 5.20

A monkey of mass 20kg climbs on a rope which can stand a maximum tension of 300 N.in which of the following cases the rope breaks? The monkey

Options

Climbs up with an acceleration of 6m/s2

Climbs up with a uniform speed of 5m/s

Climbs down with an acceleration of 4m/s2

Falls down the rope nearly freely under gravity

Ans :1st option

A monkey of mass

40

k g

climbs on a rope which can stand a maximum tension of

600

N

. In which of the following cases will the rope break. When the monkey

(a) Climbs up with an acceleration of

6

m s^{- 2}

(b) Climbs down with an acceleration of

4

m s^{- 2}

5

m s^{- 1}

(d) Falls down the rope nearly freely under gravity.

(Ignore the mass of the rope)

State whether True or False

A monkey of mass

40 k g

climbs with an acceleration of

6 m / s^{2}

on a rope which can stand a maximum tension of

550 N

. In this case, the rope will break?

(g = 9.8 m / s^{2})

Q. A monkey of mass

40 kg

climbs up a rope of breaking load

600 N

, hanging from a ceiling. If it climbs up the rope with maximum possible acceleration, then the time taken by the monkey to climb up is:
(Length of the rope is

10 m

and

g = 10 {m/s}^{2}

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a monkey of mass 40 kg climbs on a rope which can withstand maximum tension of 600N. in which of the following cases will the rope break?1.climbs up with an acceleration of 6m/s?2.climbs down with an acceleration of 4m/s?3.climbs up with a uniform speed of 5m/s

a monkey of mass 40 kg climbs on a rope which can withstand maximum tension of 600N. in which of the following cases will the rope break?
1.climbs up with an acceleration of 6m/s?
2.climbs down with an acceleration of 4m/s?
3.climbs up with a uniform speed of 5m/s