An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin. When the object is at , its velocity is . The object's velocity and acceleration at will be [2023]

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Q.
An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin. When the object is at $x = + 2 m$ , its velocity is $- 4 \hat{j} m/s$ . The object's velocity $(v)$ and acceleration $(a)$ at $x = - 2 m$ will be [2023]

Solution

Q.
An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin. When the object is at $x = + 2 m$ , its velocity is $- 4 \hat{j} m/s$ . The object's velocity $(v)$ and acceleration $(a)$ at $x = - 2 m$ will be [2023]

1 $v = 4 \hat{i} m/s, a = 8 \hat{j} {m/s}^{2}$

2 $v = 4 \hat{j} m/s, a = 8 \hat{i} {m/s}^{2}$

3 $v = - 4 \hat{j} m/s, a = 8 \hat{i} {m/s}^{2}$

4 $v = - 4 \hat{i} m/s, a = - 8 \hat{j} {m/s}^{2}$

Ans.
(2)

$a_{c} = \frac{v^{2}}{r} = \frac{4^{2}}{2} = \frac{16}{2} = 8 {m/s}^{2}$

$\vec{v} = 4 \hat{j} and {\vec{a}}_{c} = 8 \hat{i}$

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Solution

Q. An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin. When the object is at x=+2m, its velocity is -4j^m/s. The object's velocity (v) and acceleration (a) at x=-2m will be [2023]

1 v=4i^m/s, a=8j^m/s2

2 v=4j^m/s, a=8i^m/s2

3 v=-4j^m/s, a=8i^m/s2

4 v=-4i^m/s, a=-8j^m/s2

Ans. (2) ac=v2r=422=162=8m/s2 v→=4j^ and a→c=8i^

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Q.
An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin. When the object is at $x = + 2 m$ , its velocity is $- 4 \hat{j} m/s$ . The object's velocity $(v)$ and acceleration $(a)$ at $x = - 2 m$ will be [2023]

1 $v = 4 \hat{i} m/s, a = 8 \hat{j} {m/s}^{2}$

2 $v = 4 \hat{j} m/s, a = 8 \hat{i} {m/s}^{2}$

3 $v = - 4 \hat{j} m/s, a = 8 \hat{i} {m/s}^{2}$

4 $v = - 4 \hat{i} m/s, a = - 8 \hat{j} {m/s}^{2}$

Ans.
(2)

$a_{c} = \frac{v^{2}}{r} = \frac{4^{2}}{2} = \frac{16}{2} = 8 {m/s}^{2}$

$\vec{v} = 4 \hat{j} and {\vec{a}}_{c} = 8 \hat{i}$