Question

A bike experiences a total reaction force of $1000\text{N}$ when it tilts through an angle of ${60}^{\circ }$ with the vertical, while moving with a velocity of $15\text{m/s}$ on a frictionless road with a radius of curvature of $25\text{m}$. What is the mass of the bike? $(g=10{\text{m/s}}^2)$

• A. $60\text{kg}$
• B. $40\text{kg}$
• C. $50\text{kg}$
• D. $80\text{kg}$

Answer 1

The correct option is C $50\text{kg}$


Given, total reaction $R=1000\text{N}$
Balancing the vertical forces, we get
$R\cos \theta =mg$
$\Rightarrow 1000\times \cos {60}^{\circ }=m\times 10$
$\Rightarrow m=50\text{kg}$