Question:medium
The position of an object having mass \(0.1\) kg as a function of time \(t\) is given as}
\[
\vec r = (10t^2\hat{i}+5t^3\hat{j})\ \text{m}.
\]
At \(t=1\) s, which of the following statements are correct?}
A.} Linear momentum \( \vec p = (2\hat{i}+1.5\hat{j})\) kg m/s.
B.} Force acting on the object \( \vec F = (2\hat{i}+3\hat{j})\) N.
C.} Angular momentum about origin \( \vec L = 15\hat{k}\) J s.
D.} Torque about origin \( \vec \tau = 20\hat{k}\) N m.
Choose the correct answer.
The position of an object having mass \(0.1\) kg as a function of time \(t\) is given as}
\[
\vec r = (10t^2\hat{i}+5t^3\hat{j})\ \text{m}.
\]
At \(t=1\) s, which of the following statements are correct?}
A.} Linear momentum \( \vec p = (2\hat{i}+1.5\hat{j})\) kg m/s.
B.} Force acting on the object \( \vec F = (2\hat{i}+3\hat{j})\) N.
C.} Angular momentum about origin \( \vec L = 15\hat{k}\) J s.
D.} Torque about origin \( \vec \tau = 20\hat{k}\) N m.
Choose the correct answer.
Updated On: Apr 10, 2026
- A, B and C only
- B, C and D only
- A, C and D only
- A, B and D only
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Rotational Motion and Torque
An object of uniform density rolls up the curved path with the initial velocity $v_o$ as shown in the figure. If the maximum height attained by an object is $\frac{7v_o^2}{10 g}$ ($g=$ acceleration due to gravity), the object is a _______
- JEE Main - 2026
- Physics
- Rotational Motion and Torque
- A solid cylinder having radius \(R\) and length \(L\) is slipping on a rough horizontal plane. At time \(t = 0\) the cylinder has a translational velocity \(v_0 = 49\) m/s, perpendicular to its axis and a rotational velocity \(v_0/4R\) about the centre. The time taken by the cylinder to start rolling is ________ seconds. (coefficient of kinetic friction \(\mu_k = 0.25\) and \(g = 9.8\) m/s²)
- JEE Main - 2026
- Physics
- Rotational Motion and Torque
A uniform rod of mass m and length l suspended by means of two identical inextensible light strings as shown in figure. Tension in one string immediately after the other string is cut, is _______ (g = acceleration due to gravity).
- JEE Main - 2026
- Physics
- Rotational Motion and Torque
Two identical thin rods of mass M kg and length L m are connected as shown in figure. Moment of inertia of the combined rod system about an axis passing through point P and perpendicular to the plane of the rods is \(\frac{x}{12} ML^2\) kg m\(^2\). The value of x is ______ .
- JEE Main - 2026
- Physics
- Rotational Motion and Torque
- Want to practice more? Try solving extra ecology questions todayView All Questions