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Chapter 3: Problem 69

A ball is travelling with uniform translatory motion. This means that (A) it is at rest. (B) the path can be a straight line or circular and the ball travels with uniform speed. (C) all parts of the ball have the same velocity (magnitude and direction) and the velocity is constant. (D) the centre of the ball moves with constant velocity and the ball spins about its centre uniformly.

Short Answer

Expert verified
The correct answer is (C) all parts of the ball have the same velocity (magnitude and direction) and the velocity is constant, as it accurately describes uniform translatory motion.

Step by step solution

01

(A) it is at rest.

In uniform translatory motion, the ball isn't at rest because it has a constant velocity. So, statement (A) is incorrect.
02

(B) the path can be a straight line or circular and the ball travels with uniform speed.

Although the ball travels with a uniform speed, the path of the motion in uniform translatory motion should be a straight line, not a circle. Thus, statement (B) is incorrect.
03

(C) all parts of the ball have the same velocity (magnitude and direction) and the velocity is constant.

This statement fits the definition of uniform translatory motion: all parts of the object move with the same constant velocity (magnitude and direction). Statement (C) is correct.
04

(D) the centre of the ball moves with constant velocity and the ball spins about its centre uniformly.

Focusing on the spinning of the ball around its center is not relevant for uniform translatory motion. We are only concerned with the constant velocity of all parts of the object. So, statement (D) is incorrect. From the analysis of each statement, we can conclude that the correct answer is (C) all parts of the ball have the same velocity (magnitude and direction) and the velocity is constant.

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Most popular questions from this chapter

A body of mass \(5 \mathrm{~kg}\) is acted upon by two perpendicular forces \(8 \mathrm{~N}\) and \(6 \mathrm{~N}\). Give the magnitude of the acceleration of the body. (A) \(2 \mathrm{~m} / \mathrm{s}^{2}\) (B) \(4 \mathrm{~m} / \mathrm{s}^{2}\) (C) \(6 \mathrm{~m} / \mathrm{s}^{2}\) (D) \(8 \mathrm{~m} / \mathrm{s}^{2}\)

Reading of the spring scale in figure (B) (A) \(90 \mathrm{~N}\) (B) \(62.5 \mathrm{~N}\) (C) \(55 \mathrm{~N}\) (D) \(75 \mathrm{~N}\)

A block \(P\) of mass \(4 \mathrm{~kg}\) is placed on horizontal rough surface with co-efficient of friction \(\mu=0.6\). And two blocks \(R\) and \(Q\) of masses \(2 \mathrm{~kg}\) and \(4 \mathrm{~kg}\) connected with the help of massless strings \(A\) and \(B\), respectively, passing over frictionless pulleys as shown, then \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\) (A) Acceleration of block \(P\) is zero. (B) Tension in string \(A\) is \(20 \mathrm{~N}\). (C) Tension in string \(B\) is \(40 \mathrm{~N}\). (D) Contact force on block \(P\) is \(20 \sqrt{5} \mathrm{~N}\).

A block rests on a rough inclined plane making an angle of \(30^{\circ}\) with the horizontal. The co-efficient of static friction between the block and the plane is \(0.8\). If the frictional force on the block is \(10 \mathrm{~N}\), the mass of the block (in \(\mathrm{kg}\) ) is (Taking \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) ) (A) \(2.0\) (B) \(4.0\) (C) \(1.6\) (D) \(2.5\)

A box of mass \(8 \mathrm{~kg}\) is placed on a rough inclined plane of inclination \(\theta\). Its downward motion can be prevented by applying an upward pull \(F\) and it can be made to slide upwards by applying a force \(2 F .\) The co-efficient of friction between the box and the inclined plane is (A) \(\frac{1}{3} \tan \theta\) (B) \(3 \tan \theta\) (C) \(\frac{1}{2} \tan \theta\) (D) \(2 \tan \theta\)
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