Physics - Kinematics Question with Solution | TestHub

PhysicsKinematics2-D & 3DEasy2 minPYQ_2020

PhysicsEasysingle choice

A particle is thrown over a triangle from one end of a horizontal base and after grazing the vertex falls on the other end of the base. If $α$ and $β$ be the base angles and $θ$ be the angle of projection. Find the value of $\tan$ $θ$ .

Options:

Answer:

Solution:

The situation is shown in diagram

$tan α + tan β = \frac{y}{x} + \frac{y}{R - x}$

$tan α + tan β = \frac{yR}{x (R - x)}$ ...(i)

Equation of trajectory is $y = x tan θ [1 - \frac{x}{R}]$

or, $tan θ = \frac{yR}{x (R - x)}$ ...(ii)

From Eqs. (i) and (ii), we have

$tan θ = tan α + tan β$

Subject:PhysicsTopic:KinematicsSubtopic:2-D & 3D

⏱ 2mℹ️ Source: PYQ_2020

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