Accelerate JEE 2020: SHM Class 5 (30.07.2019)

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Question 1

A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle θ, find the period of oscillations.

• A
• B
• C
• D

Question 2

A simple pendulum with length and bob of mass m executes SHM of small amplitude A. The maximum tension in the string will be

• A
• B
• C
• D2 mg

Question 3

A simple pendulum is oscillating in a lift. If the lift is going down with constant velocity, the time period of the simple pendulum is T₁. If the lift is going down with some retardation its time period is T₂, then

• AT₁ > T₂
• BT₁ < T₂
• CT₁ = T2
• Ddepends upon the mass of the pendulum bob

Question 4

In the figure shown, the spring are connected to the rod at one end and at the midpoint. The rod is hinged at its lower end. Rotational SHM of the rod (Mass m, length L) will occur only if

• Ak > mg / 3L
• Bk > 2mg/3L
• Ck > 2mg/5L
• Dk > 0

Question 5

The springs in fig. A and B are identical but length in A is three times each of that in B. The ratio of period T_A/T_B is

• A1
• B1/3
• C3
• Dnone

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