Search any question & find its solution
Question:
Answered & Verified by Expert
A body starts from rest on a long inclined plane of slope $45^{\circ}$. The coefficient of friction between the body and the plane varies as $\mu=0.3 x$, where $x$ is distance travelled down the plane. The body will have maximum speed (for $g=10 \mathrm{~m} / \mathrm{s}^2$ ) when $x=$
Options:
Solution:
1356 Upvotes
Verified Answer
The correct answer is:
$3.33 \mathrm{~m}$
$3.33 \mathrm{~m}$
When the body has maximum speed then
$$
\begin{aligned}
& \mu=0.3 \mathrm{x}=\tan 45^{\circ} \\
& \therefore \mathrm{x}=3.33 \mathrm{~m}
\end{aligned}
$$
$$
\begin{aligned}
& \mu=0.3 \mathrm{x}=\tan 45^{\circ} \\
& \therefore \mathrm{x}=3.33 \mathrm{~m}
\end{aligned}
$$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.