MOTION AND MAXIMUM ACCELERATIONS OF A BICYCLE | INPHO PYQ's 2013| INPHO OLYMPIAD PYQ's 2013

Описание: Consider a bicycle in a vertical position accelerating forward without slipping on a straight horizontal road. The combined mass of the bicycle and the rider is $M$ and the magnitude of the accelerating torque applied to the rear wheel by the pedal and gear system is $\tau$. Each wheel's radius and moment of inertia are $R$ and $I$ (for axis) respectively. The acceleration due to gravity is $g$.
(a) Draw the free-body diagram of the system (bicycle and rider).
(b) Obtain the acceleration $a$ in terms of the above-mentioned quantities.
(c) For simplicity assume that the centre of mass of the system is at height $R$ from the ground and median at $2 R$ from the centre of each of the two wheels. Let $\mu$ be the coefficient of friction (both static and dynamic) between the wheels and the ground. Consider $M \gg I / R^2$ and no slipping. Obtain the conditions for the maximum acceleration $a_m$ of the bike.
(d) For $\mu=1.0$ calculate $a_m$.

✨Olympiad Wallah Telegram Channel💬 https://telegram.me/Olympiad_wallah
-----------------------------------------------------
📲 PW App/Website: https://physicswallah.onelink.me/ZAZB...
📚 PW Store: https://physicswallah.onelink.me/ZAZB...
-------------------------------------------------------
Learn the concepts of motion and maximum accelerations of a bicycle with INPHO PYQ's 2013 and INPHO Olympiad PYQ's 2013. This video will help you prepare for the Olympiad exams and ace your physics questions!

🔗 Strategy Videos:    • Strategy Video  
-------------------------------------------------------
📌 RECOMMENDED CHANNELS FOR YOU -
🌐 Physics Wallah - Alakh Pandey:    / @physicswallah  
🌐 Physics Wallah Foundation -    / @pw-foundation  
🌐 NCERT Wallah    / @ncertwallahpw  
🌐 Competition Wallah -    / @pw-neetwallah  
🌐 JEE Wallah -    / @pw-jeewallah  
🌐 Physics Wallah Foundation -    / @pw-foundation  
🌐 NCERT Wallah    / @ncertwallahpw  
-------------------------------------------------------
📌 𝐏𝐇𝐘𝐒𝐈𝐂𝐒 𝐖𝐀𝐋𝐋𝐀𝐇 𝐒𝐎𝐂𝐈𝐀𝐋 𝐌𝐄𝐃𝐈𝐀 -
🌐 Telegram: https://t.me/Physics_Wallah_Official_...
🌐 Instagram:   / physicswallah  
🌐 Facebook:   / physicswallah  
🌐 Twitter:   / physics__wallah  
🌐 LinkedIn:   / physicswallah  
🌐 Quora: https://pwofficial.quora.com
-------------------------------------------------------
📌 For any queries or complaints Visit: https://bit.ly/PW_Queries OR give a Missed Call on 07019-243-492
-------------------------------------------------------
#NSEJS #NSEJS2024 #olympiad #Pw #inpho #pyqseries #inphopyqs #inphopyqs2023 #pyq2023