A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when: [2019]A: The mass is at the highest pointB: The wire is horizontalC: The mass is at the lowest pointD: Inclined at an angle of 60° from vertical
Question
A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when: [2019]A: The mass is at the highest pointB: The wire is horizontalC: The mass is at the lowest pointD: Inclined at an angle of 60° from vertical
Solution
The wire is most likely to break when the mass is at the lowest point (Option C).
Here's why:
When the mass is whirled in a vertical circle, it experiences two forces: gravitational force (mg) and the tension in the wire.
At the highest point of the circle, the tension and gravitational force both act downwards, so the total force is the sum of these two forces.
At the lowest point of the circle, the tension acts upwards and the gravitational force acts downwards. The tension must be greater than the gravitational force to keep the mass moving in a circle. Therefore, the tension is at its maximum at the lowest point of the circle, making this the point where the wire is most likely to break.
Similar Questions
A bead can slide on a smooth wire and particle of mass m is attached to the bead by a light string of length L. The particle is held in contact with the wire with the string taut and is then let fall. The bead has mass 3 m.Vertical component of velocity of mass m, when the string makes angle 30o with wire will be
A box of mass m is pulled with a constant acceleration a along a horizontal frictionless floor by a wire that makes an angle of 15 degrees above the horizontal. The tension in this wire is greater than ma.Group of answer choicesFalseTrue
A uniform, thin wire is bent into the shape of a semicircle with a radius 'R'. Calculate the coordinates of the center of mass of this wire, assuming the mass per unit length is constant along the wire.
Two masses m1 and m2 placed on a smooth horizontal surface are connected by a mass less, inextensible string. A horizontal force F is applied on m2 as shown in the figure, the tension in the string is 1 point
Mass m1 is connected by a string through a hole in the table to a hanging mass m2. Mass m1 slides in a circle on the table with just enough speed that m2 doesn't fall. Which is the correct free body diagram for mass m1 on the table?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.