A rolling pin RP_1 rolls down a 2-m incline that forms a 60 degree angle with th

Question

A rolling pin RP_1 rolls down a 2-m incline that forms a 60 degree angle with the ground. Another rolling pin RP_2 rolls down a 2-m incline that forms a 30 degree angle with the ground. Both of the rolling pins have a moment of inertia of 25 kg m^2, a mass of 5 kg, and a radius of 15 cm. Which of the following accurately compares the rolling pins' final velocities? They are the same The final velocity of RP_2 is double that of RP_1. The final velocity of RP_2 is half that of RP1. The final velocity of RP_2 is larger that that of RP_1 by a factor of squareroot 3.

Explanation / Answer

The final velocity at the bottom of the incline can be expressed as

v= ( 2*gh/ 1+ ( I/ MR^2) )^1/2

for RP1

v1= ( 2*9.8* 2 / 1+ ( 25/ 5 kg (0.15)^2) )^1/2

=0.419 m/s

for RP2

v2= ( 2*9.8* 2 / 1+ ( 25/ 5 kg (0.15)^2) )^1/2

=0.419 m/s

so final velocities of RP1 and RP2 is same

Hence, option (a) is correct answer

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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