Grade 11Mechanics

Consider a mass spring suspended from a rigid support. Let v be the speed imparted to the mass , R be the length of the string . If v = (4gR)^½, at what angle with the horizontal will the string be slack ?

Vishnu

8 Years agoGrade 11

1 Answer

Bhavasagar

8 Years ago

Given,v=√4gR. If ∆ is the angle made by string with horizontal when it is slack. From FBD of mass. tan∆=weight/Centripetal force. tan∆=mg/mv^2/R. tan∆=mgR/m4gR. tan∆=1/4. ∆=tan^-1(1/4)

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Consider a mass spring suspended from a rigid support. Let v be the speed imparted to the mass , R be the length of the string . If v = (4gR)½ , at what angle with the horizontal will the string be slack ?

Vishnu

1 Answer

Bhavasagar

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Consider a mass spring suspended from a rigid support. Let v be the speed imparted to the mass , R be the length of the string . If v = (4gR)^½, at what angle with the horizontal will the string be slack ?

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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