jee_main_2025_03_april_morning - Laws of Motion Topics

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QUESTION #6 Spring-Block Dynamics with Friction
Two blocks of masses m and M, (M > m) , are placed on a frictionless table as shown in figure. A massless spring with spring constant k is attached with the lower block. If the system is slightly displaced and released then (μ =coefficient of friction between the two blocks) {{IMG1}} (A) The time period of small oscillation of the two blocks is T = 2π (m + M)k (B) The acceleration of the blocks is a = (kx)/(M + m) (x = displacement of the blocks from the mean position) (C) The magnitude of the frictional force on the upper block is mk|x|M + m (D) The maximum amplitude of the upper block, if it does not slip, is μ(M + m)gk (E) Maximum frictional force can be μ (M + m)g. Choose the correct answer from the options given below:
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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