Using the energy conservation, derive the expressions for the min… - Vidyadip

Question

Using the energy conservation, derive the expressions for the minimum speeds at different locations along a vertical circular motion controlled by gravity. Is zero speed possible at the uppermost point? Under what condition/s? Also prove that the difference between the extreme tensions (or normal forces) depends only upon the weight of the object.

✓

Answer

In a non uniform vertical circular motion, e.g., those of a small body attached to a string or the loop-the-loop manoeuvers of an aircraft or motorcycle or skateboard, the body must have some minimum speed to reach the top and complete the circle. In this case, the motion is controlled only by gravity and zero speed at the top is not possible.

However, in a controlled vertical circular motion, e.g., those of a small body attached to a rod or the giant wheel (Ferris wheel) ride, the body or the passenger seat can have zero speed at the top, i.e., the motion can be brought to a stop.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Answer the following in Brief" from Rotational Dynamics→Rotational Dynamics — all question types→Physics STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Explain Biot Savart's Law.

Obtain an expression for the half-lifetime of radioactive material. Hence state the relation between an average life and half lifetime of radioactive material.

State the basic steps involved in the working of a heat engine.

Find the mean free path of a gas molecule if the diameter of a molecule is $4 \mathrm{~A}$, the mass of a molecule is $5.316 \times 10^{-26} \mathrm{~kg}$ and density of the gas is $1.429 \mathrm{~kg} / \mathrm{m}^3$.

What will happen if the magnetic field in a moving-coil galvanometer is not radial?

A wire loop of the form shown in the figure carries a current I. Obtain the magnitude and direction of the magnetic field at P. Given: $\frac{\mu_0 I}{4 \pi R} \sqrt{2}$

Explain with a neat diagram, how a p-n junction diode is used as a half wave rectifier.

Derive an expression for one dimensional - Simple harmonic progressive wave travelling in the direction of positive X-axis. Express it in 'two' different forms.

When a glass capillary tube of radius $0.4 \mathrm{~mm}$ is dipped into mercury, the level of mercury inside the capillary stands $1.50 \mathrm{~cm}$ lower than that outside. Calculate the surface tension of mercury. [Angle of contact of mercury with glass $=148^{\circ}$, density of mercury $=13600 \mathrm{~kg} / \mathrm{m}^3$ ]

A rectangular wireframe of size $2 cm \times 2 cm$, is dipped in a soap solution and taken out. A soap film is formed, if the size of the film is changed to $3 cm \times 3 cm$, Calculate the work done in the process. The surface tension of the soap film is $3 \times 10^{-2} N / m$.