Non-Constant Parameters in Motion Kinematics

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What is the upper limit of the speed of the vehicle at the topmost point of the convex over bridge?

$\dfrac{rg}{11}$ (correct)

$\dfrac{rg}{12}$

$\dfrac{rg}{14}$

$\dfrac{rg}{13}$

What imposes an upper limit on the speed of the vehicle at the uppermost position?

Friction acting on the vehicle

Increased weight of the vehicle

Normal reaction force going to zero (correct)

Decreasing centripetal force

What is the major force experienced during a roller coaster ride?

Normal reaction force (correct)

Weight force

Friction force

Centripetal force

What is the value of maximum velocity experienced in a roller coaster ride described in the text?

$10$ m/s Signup and view all the answers

What happens to the normal reaction force as the speed of the vehicle is increased?

Decreases Signup and view all the answers

Why are the kinematical equations given in the table1 not applicable in the described motion?

None of the parameters, including accelerations, are constant. Signup and view all the answers

What indicates an upper limit on the speed at the uppermost point of the motion?

Normal reaction force becoming zero Signup and view all the answers

How can we determine the position vector or velocity at any instant in the described scenario?

Through energy conservation. Signup and view all the answers

What do equations (1.10) and (1.13) provide in the scenario?

Minimum speeds at all points. Signup and view all the answers

Why is a certain minimum speed necessary at the uppermost point for a string and not for a rod?

Strings are not rigid and need tension. Signup and view all the answers

What is required continuously to overcome air resistance in reality?

Additional energy supply. Signup and view all the answers

What is essential for a motion to be circular?

Matching tangential velocity Signup and view all the answers

Why is practically zero speed possible at the uppermost point for a rod?

Rods are rigid. Signup and view all the answers

In an inertial frame of reference, how is a body observed when performing a circular motion?

Performing circular motion Signup and view all the answers

What is the magnitude of the centrifugal force in a uniform circular motion?

$mv^2/r$ Signup and view all the answers

What is the direction of the centrifugal force in a circular motion?

Away from the center Signup and view all the answers

What can be noticed when a mass performs horizontal motion on a spring balance?

The balance reads more mass Signup and view all the answers

What does Figure 1.4 show in relation to a car on a horizontal circular track?

A vertical section of the car Signup and view all the answers

What type of republic is India according to the Preamble of the Constitution of India?

Sovereign Socialist Secular Democratic Republic Signup and view all the answers

Which of the following is NOT one of the values promised to Indian citizens in the Preamble?

Inequality Signup and view all the answers

When was the Constitution of India adopted by the Constituent Assembly?

26th November, 1949 Signup and view all the answers

Who is mentioned as the publisher in the provided text?

Vivek Uttam Gosavi Signup and view all the answers

Which value mentioned in the Preamble aims to assure the dignity of the individual and unity of the Nation?

Fraternity Signup and view all the answers

What is the main purpose of the Constitution of India as stated in the Preamble?

To ensure justice for all citizens Signup and view all the answers

What is the angle of contact when a liquid completely wets a solid surface?

Almost zero degrees Signup and view all the answers

In the case where T2 > T1 and (T2-T1) < T3, what is the nature of the angle of contact θ?

Acute Signup and view all the answers

Which force is the resultant force when the angle of contact is zero?

Adhesive force Signup and view all the answers

What does it mean when θ → 00?

The cohesive force is negligible Signup and view all the answers

In Fig. 2.19 (c), why is the angle of contact almost zero?

Because the liquid molecules near the contact region are few in number Signup and view all the answers