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A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R?
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A small block can move in a straight horizontal line along AB. Flash l...
- **Understanding the scenario**
- A small block moving along AB
- Flash light projects shadow on a circular wall
- **Finding radial acceleration**
- Radial acceleration is given by: \(a_R = R \frac{d^2θ}{dt^2}\)
- We need to find \(\frac{d^2θ}{dt^2}\)
- **Analyzing the motion**
- The shadow of the block on the circular wall moves in a circular path
- Let the radius of the circular wall be R
- Let the angle between the block and the vertical be θ
- **Deriving the equation**
- The distance moved by the shadow = Rθ
- Differentiating twice with respect to time, we get: \(a_R = R \frac{d^2θ}{dt^2} = R \frac{d^2(Rθ)}{dt^2}\)
- \(a_R = R \frac{d^2(Rθ)}{dt^2} = R \frac{d(Rv)}{dt} = R \frac{d(vR)}{dt} = R \frac{dv}{dt}R = R^2 \frac{dv}{dt}\)
- **Final expression**
- Radial acceleration as a function of time: \(a_R = R^2 \frac{dv}{dt} = R^2 \frac{d}{dt}(v) = R^2 \frac{d}{dt}(Rt) = R^2 \frac{dR}{dt} = R^2 \times 0 = 0\)
Therefore, the correct answer is **(D) 0**.
- A small block moving along AB
- Flash light projects shadow on a circular wall
- **Finding radial acceleration**
- Radial acceleration is given by: \(a_R = R \frac{d^2θ}{dt^2}\)
- We need to find \(\frac{d^2θ}{dt^2}\)
- **Analyzing the motion**
- The shadow of the block on the circular wall moves in a circular path
- Let the radius of the circular wall be R
- Let the angle between the block and the vertical be θ
- **Deriving the equation**
- The distance moved by the shadow = Rθ
- Differentiating twice with respect to time, we get: \(a_R = R \frac{d^2θ}{dt^2} = R \frac{d^2(Rθ)}{dt^2}\)
- \(a_R = R \frac{d^2(Rθ)}{dt^2} = R \frac{d(Rv)}{dt} = R \frac{d(vR)}{dt} = R \frac{dv}{dt}R = R^2 \frac{dv}{dt}\)
- **Final expression**
- Radial acceleration as a function of time: \(a_R = R^2 \frac{dv}{dt} = R^2 \frac{d}{dt}(v) = R^2 \frac{d}{dt}(Rt) = R^2 \frac{dR}{dt} = R^2 \times 0 = 0\)
Therefore, the correct answer is **(D) 0**.
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A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R?
Question Description
A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R?.
A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R?.
Solutions for A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R? in English & in Hindi are available as part of our courses for JEE.
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Here you can find the meaning of A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R? defined & explained in the simplest way possible. Besides giving the explanation of
A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R?, a detailed solution for A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R? has been provided alongside types of A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R? theory, EduRev gives you an
ample number of questions to practice A small block can move in a straight horizontal line along AB. Flash lights from one side project its shadow on a vertical wall which has a horizontal cross-section as a circle. Find radial acceleration as a function of time. (A) v R 2 ( 3 R 2 t − R v t 2 ) 𝑣 𝑅 2 ( 3 𝑅 2 𝑡 − 𝑅 𝑣 𝑡 2 ) (B) v R ( 2 R t − v t 2 ) 𝑣 𝑅 ( 2 𝑅 𝑡 − 𝑣 𝑡 2 ) (C) R . t − / 3 ( 2 R 3 t − v R 2 t 2 ) 2 / 3 𝑅 . 𝑡 − / 3 ( 2 𝑅 3 𝑡 − 𝑣 𝑅 2 𝑡 2 ) 2 / 3 (D) 3 2 ( t − R v ) v R? tests, examples and also practice JEE tests.
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