#2) Three equal masses are suspended from a frictionless, massless pulley system

Question

#2) Three equal masses are suspended from a frictionless, massless pulley system, as shown. Once the system has reached equilibrium, what angles will the strings make with respect to the horizontal?

#3)A fuzzy die (m = 0.2 kg) hangs from the ceiling of a car. When the car accelerates forward along a horizontal road, the die swings backward so the the string supporting it makes an angle of 4o with the vertical. What is the acceleration of the car? HINT: We're not concerned about how the die swung back, only that it has swung back.

Explanation / Answer

3)

Balancing forces in vertical direction,

T*cos = mg ...........(1)

Balancing forces in horizontal direction,

T*sin = ma ..............(2)

(1) divided by (2) gives,

cos / sin = g/a

=> cot = g/a

=> cot(40) = 9.81/a

=> a = 0.69 m/s2

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

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