A toy shop owner is designing a display for his store window. He would like a sn

Question

A toy shop owner is designing a display for his store window. He would like a snowman on a sled to travel in a circular path of radius d, on an icy (frictionless) surface. To make this happen, he has attached a string to the sled, passes the string through a center of a vertical pole, and anchors the other end of the string to a teddy bear on a different level. He will give the sled a little push to get it started travelling at a constant speed v. Since he might want to sell the bear later, he won't glue it down and has to rely on the friction between the bear and the surface (which has a coefficient of static friction ?). If the mass of the snowman and sled combined is m, what is the minimum mass of the bear for which this motion is possible? Express your answer in terms of m, L, d, ?, v, and g (the acceleration due to gravity).

Explanation / Answer

frictional force acting on the teddy bar is

f = u m1 g

the centripetal force acting on the snow man is

F = mv^2/d

to balance the both motion of the toys , the two forces must balance each other

F = f

u m1 g= mv^2/d

m1 = mv^2/ u gd

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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