Stony Brook University IUSI https://blackboard.stonybrook.edu/webapps/portal/fra

Question

Stony Brook University IUSI https://blackboard.stonybrook.edu/webapps/portal/frameset jsp?ta b tab group.id 5.1url %2Fwebapps62F Fblackboard? Stony Brook University My Institution Courses Community Library SBU Services Feedback Need Help? Read iR My Notes Ask Notes O Ask -15 points KatzPSE1 16.P 037 M Three thin sticks of equal mass, each of length 60.0 cm, are connected at the perpendicular to the plane of the triangle and passing brough one of the vertices, what is the period of the mass, each of length 60.0 cm, a are connected at the ends to form an equilateral triangle. When the triangle is pivoted around an axis and passing brough one of the vertices, what is the period of the triangle's oscillation as a physical pendulum? Need Help? Leran. Lemon Subimit Assignment Save Assignment Progress Home My Assignments Extension Reques WetAssgne 4 0 0 1007-2015 Advanced instructional Systems Inc A·nghts reserved earch the web and Windows ^

Explanation / Answer

if it is displaced by a small angle r

torque equation about top ,fixed point:
- mg*(L/2 * sin r)=Ia
I is moment of inertia a is angular accelaration
- is because it is restoring
I=m*L^2 /3
put this value and you will get

a= -3/2 *g/L * sin r
for small r ,sin r= r
a= - (3g/2L)*r
compare this with equation of shm
a=-w^2 *r
hence w^2=3g/2L

time period =2(pi)/w=2(pi)* (2L/3g)^1/2

clearly length of simple pendulam should be=2L/3

therefore L= 60cm is given

then time period = T = (2*60)/3

T= 40sec

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.