52 Views

can we apply acceleration a=(gsintheta -Musgcosheta) in rolling motion in case of inclined plane and find out time taken by substuting value of a in kinematic equations??


naiksavitri123 13th Apr, 2020
Answer (1)
Mounika Sonti 29th May, 2020

Hello!!!!

Hope you are doing great!!!

Yes , We can apply a=(gsinθ - μgcosθ)

Σ F = Fg - Fk  ( Fg is force exerted by the block , Fk is the frictional force,  we can consider frictional force according to the question)

Σ F=(mgsinθ - μmgcosθ),,θ is the angle of the inclined plane and by balancing the forces we get this equation

Σ F=  m(gsinθ - μgcosθ),,,as f=ma

ma=m(gsinθ - μgcosθ),

by cancelling m on both sides,we get,,

a=(gsinθ - μgcosθ)

As per  the equation of kinematics ;;

s=ut+1/2at^2,,as initial velocity will be zero,,

s=1/2at^2

t^2=2s/a

t^2=2s/(gsinθ - μgcosθ)

t= √  2s/(gsinθ - μgcosθ)

Hope it helps!!!

Related Questions

Amity University-Noida B.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
Amity University-Noida M.Tech...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
SCSVMV Deemed to be Universit...
Apply
MBA At at SCSVMV | NAAC 'A' Grade | AICTE & UGC Aproved | 100% Placement Support | Merit-based Scholarships
Amity University-Noida BBA Ad...
Apply
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
VIT Bhopal University | B.Arc...
Apply
Mark presence in the Modern Architectural field with Bachelor of Architecture | Highest CTC : 70 LPA | Accepts NATA Score
New Horizon College BBA Admis...
Apply
UG Admissions 2026 open| NAAC ‘A’ grade | Merit-based Scholarships available.
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books